Algebra I Lesson #1 Unit 11 Class Worksheet #1 For ...richardbondmath.com/algebra1/Unit11/lesson1.pdfAlgebra I Unit 11 Factoring To factor a whole number means to express the whole

Algebra I Lesson #1 Unit 11Class Worksheet #1

For Worksheets #1 & #2

Algebra I Unit 11 Factoring


To factor a whole number means to express the whole number as a product of 2 or more whole numbers.


To factor a whole number means to express the whole number as a product of 2 or more whole numbers. Here are some examples.



6 = 35 = 91 =



6 = (2) 35 = 91 =



6 = (2)(3) 35 = 91 =



6 = (2)(3) 35 = (5) 91 =



6 = (2)(3) 35 = (5)(7) 91 =



6 = (2)(3) 35 = (5)(7) 91 = (7)



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)

The last example illustrates an important point.



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)

The last example illustrates an important point. Your ability to factor depends on your understanding of multiplication facts.



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)

The last example illustrates an important point. Your ability to factor depends on your understanding of multiplication facts. The first 2 problems are ‘easy’



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)

The last example illustrates an important point. Your ability to factor depends on your understanding of multiplication facts. The first 2 problems are ‘easy’ because they involve common multiplications facts.



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)

The last example illustrates an important point. Your ability to factor depends on your understanding of multiplication facts. The first 2 problems are ‘easy’ because they involve common multiplications facts. Factoring algebraic expressions



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)

The last example illustrates an important point. Your ability to factor depends on your understanding of multiplication facts. The first 2 problems are ‘easy’ because they involve common multiplications facts. Factoring algebraic expressions is an important algebra skill.



6 = (2)(3) 35 = (5)(7) 91 = (7)(13)

The last example illustrates an important point. Your ability to factor depends on your understanding of multiplication facts. The first 2 problems are ‘easy’ because they involve common multiplications facts. Factoring algebraic expressions is an important algebra skill. Each ‘factoring pattern’ you will learn will depend on a related ‘multiplication pattern’.



Consider the following multiplication problems.


Consider the following multiplication problems.3(x + 5) = x(x + 7) =

4x(x + 6) = 5x(4x + 9) =



4x(x + 6) = 5x(4x + 9) =The multiplication pattern used here is the distributive property for multiplication over addition.



4x(x + 6) = 5x(4x + 9) =The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.




A(B + C) =




A(B + C) = AB




A(B + C) = AB +




A(B + C) = AB + AC




A(B + C) = AB + AC


Consider the following multiplication problems.3(x + 5) = 3x x(x + 7) =


A(B + C) = AB + AC


Consider the following multiplication problems.3(x + 5) = 3x + x(x + 7) =


A(B + C) = AB + AC


Consider the following multiplication problems.3(x + 5) = 3x + 15 x(x + 7) =


A(B + C) = AB + AC




A(B + C) = AB + AC




A(B + C) = AB + AC


Consider the following multiplication problems.3(x + 5) = 3x + 15 x(x + 7) = x2


A(B + C) = AB + AC


Consider the following multiplication problems.3(x + 5) = 3x + 15 x(x + 7) = x2 +


A(B + C) = AB + AC


Consider the following multiplication problems.3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x


A(B + C) = AB + AC




A(B + C) = AB + AC




A(B + C) = AB + AC



4x(x + 6) = 4x2 5x(4x + 9) =The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.

A(B + C) = AB + AC



4x(x + 6) = 4x2 + 5x(4x + 9) =The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.

A(B + C) = AB + AC



4x(x + 6) = 4x2 + 24x 5x(4x + 9) =The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.

A(B + C) = AB + AC




A(B + C) = AB + AC




A(B + C) = AB + AC



4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2

The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.

A(B + C) = AB + AC



4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 +The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.

A(B + C) = AB + AC



4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.

A(B + C) = AB + AC



4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x The multiplication pattern used here is the distributive property for multiplication over addition. This is stated below.

A(B + C) = AB + AC




A(B + C) = AB + ACThese equations can be written as factoring problems.

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = x2 + 7x =

4x2 + 24x = 20x2 + 45x =

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =

AB + AC =

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =

AB + AC = A(

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =

AB + AC = A(B

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =

AB + AC = A(B +

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =

AB + AC = A(B + C)

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =

AB + AC = A(B + C) Notice that A is the greatest common factor of the given expression.

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =

AB + AC = A(B + C) Notice that A is the greatest common factor of the given expression. Also notice that the second factor is found when each term of the original expression is divided by A.

3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3( x2 + 7x =

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3(x x2 + 7x =

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3(x + x2 + 7x =

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3(x + 5) x2 + 7x =

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3(x + 5) x2 + 7x = x(

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3(x + 5) x2 + 7x = x(x

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3(x + 5) x2 + 7x = x(x +

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x




A(B + C) = AB + ACThese equations can be written as factoring problems.3x + 15 = 3(x + 5) x2 + 7x = x(x + 7)

4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x( 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x =


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x = 5x(


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x = 5x(4x


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x = 5x(4x +


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x = 5x(4x + 9)


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x





4x2 + 24x = 4x(x + 6) 20x2 + 45x = 5x(4x + 9)


3(x + 5) = 3x + 15 x(x + 7) = x2 + 7x

4x(x + 6) = 4x2 + 24x 5x(4x + 9) = 20x2 + 45x

Algebra I Class Worksheet #1 Unit 11

Perform the indicated operations.

1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________



1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

The Distributive Properties



1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

A(B + C) = AB + ACThe Distributive Properties



1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

A(B + C) = AB + AC A(B – C) = AB – ACThe Distributive Properties



1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x +




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x –




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x –




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7

-9x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7

-9x




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7

-9x +




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7

-9x + -15




1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7


Don’t leave ‘double signs’.

-9x + -15



1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7


Don’t leave ‘double signs’.

-9x – 15



1. 3(2x + 5) = _________________

2. 5(3x – 2) = _________________

3. 7(x – 1) = _________________

4. -3(3x + 5) = _________________

6x + 15

15x – 10

7x – 7

-9x – 15




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 +




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 –




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 +




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x

35x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x

35x2




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x

35x2 –




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x

35x2 – 15x




5. x(x + 3) = _________________

6. x(x – 5) = _________________

7. 2x(3x + 5) = _________________

8. 5x(7x – 3) = _________________

x2 + 3x

x2 – 5x

6x2 + 10x

35x2 – 15x




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 +




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x

-6x2




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x

-6x2




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x

-6x2 –




9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________

6x2 + 6x

-6x2 – -3x




6x2 + 6x


Don’t leave ‘double signs’.-6x2 – -3x

9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________



6x2 + 6x


Don’t leave ‘double signs’.-6x2 + 3x

9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________



9. 6x(x + 1) = _________________

10. -3x(2x – 1) = _________________


6x2 + 6x

-6x2 + 3x


Factor each of the following completely.

21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________

The Distributive Properties



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________

AB + AC = A(B + C) The Distributive Properties



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________

AB + AC = A(B + C) AB – AC = A(B – C) The Distributive Properties



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


A is the greatest common factor of the terms of the expression. ‘Factor out’ A.



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(




21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(


The second factor is determined by dividing each term of the expression by A.



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(





21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(4x





21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(4x





21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(4x +





21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(4x + 3)





21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________


2(4x + 3)





21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x –



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(3x



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(3x



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(3x –



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(3x – 4)



21. 8x + 6 = _________________

22. 5x – 20 = _________________

23. 18x – 24 = _________________




2(4x + 3)

5(x – 4)

6(3x – 4)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________






24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________






24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________






24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________






24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(






24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________

-9(

When the leading coefficient is negative,






24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________

-9(







24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________

-9(

When the leading coefficient is negative, it is customary to factor out a negative number.






24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________

-9(




24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x –



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




Make sure you understand this sign.

-9(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x +



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(x



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(x



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(x –



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(x – 3)



24. -9x + 27 = _________________

25. x2 + 8x = _________________

26. x2 – 3x = _________________




-9(x – 3)

x(x + 8)

x(x – 3)



27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x –






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(3x






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(3x






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(3x +






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(3x + 2)






27. 3x2 – 6x = _________________

28. 15x2 + 10x = _________________

3x(x – 2)

5x(3x + 2)






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(









29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(







29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(







29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(







29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(




29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(x






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(x






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(x –






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(x – 2)






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________




Make sure you understand this sign.

-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(x – 2)






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________

-2x(x – 2)






29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(5x




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(5x




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(5x –




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(5x – 4)




-2x(x – 2)



29. -2x2 + 4x = _________________

30. 20x2 – 16x = _________________4x(5x – 4)




-2x(x – 2)

Factoring Trinomials - Type 1





(x + 3)(x + 5) =

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) =

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) =

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 +

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x +

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x +

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 =

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 3)(x + 5) = x2 + 5x + 3x + 15 =



(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2



(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 +



(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x



(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x +



(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) =

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 +

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x +

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x +

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 7)(x + 6) = x2 + 6x + 7x + 42 =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 7)(x + 6) = x2 + 6x + 7x + 42 =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 9)(x + 2) =

(x + a)(x + b) =

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 +

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x +

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x +

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 =

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + a)(x + b) =

(x + 9)(x + 2) = x2 + 2x + 9x + 18 =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + a)(x + b) =

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + a)(x + b) =

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + a)(x + b) =

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + a)(x + b) =

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + a)(x + b) =

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + a)(x + b) =

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab =



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 +

Use the distributive law for multiplication over addition to factor this expression.



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 +




(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 + (b + a)




(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 + (b + a)x




(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 + (b + a)x



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 + (b + a)x +



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18

(x + a)(x + b) = x2 + bx + ax + ab = x2 + (b + a)x + ab



(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18




(x + 3)(x + 5) = x2 + 5x + 3x + 15 = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 6x + 7x + 42 = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 2x + 9x + 18 = x2 + 11x + 18




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar.



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials.



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials. The first term in each binomial is x.



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials. The first term in each binomial is x. The second term in each binomial is a constant.



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials. The first term in each binomial is x. The second term in each binomial is a constant. The answers are also similar.



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials. The first term in each binomial is x. The second term in each binomial is a constant. The answers are also similar. Each answer is a trinomial.



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials. The first term in each binomial is x. The second term in each binomial is a constant. The answers are also similar. Each answer is a trinomial. The first term is x2.



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials. The first term in each binomial is x. The second term in each binomial is a constant. The answers are also similar. Each answer is a trinomial. The first term is x2. The coefficient of the ‘x-term’ (the middle term) is the sum of the two constants (b + a).



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab

Notice that these problems are similar. Each involves multiplying two binomials. The first term in each binomial is x. The second term in each binomial is a constant. The answers are also similar. Each answer is a trinomial. The first term is x2. The coefficient of the ‘x-term’ (the middle term) is the sum of the two constants (b + a). The last term is the product of the two constants (ab).



(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab




(x + 3)(x + 5) = x2 + 8x + 15

(x + 7)(x + 6) = x2 + 13x + 42

(x + 9)(x + 2) = x2 + 11x + 18

(x + a)(x + b) = x2 + (b + a)x + ab



11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________



11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________



11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2

b + a =


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2

b + a = 10


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 +b + a = 10


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10xb + a = 10


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10xb + a = 10


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10xb + a = 10


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10xb + a = 10 ab =


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10xb + a = 10 ab = 21


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10x +b + a = 10 ab = 21


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10x + 21b + a = 10 ab = 21


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10x + 21b + a = 10 ab = 21


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

x2 + 10x + 21b + a = 10 ab = 21


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2

b + a =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2

b + a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 +

b + a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x

b + a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x

b + a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x

b + a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x

b + a = 3 ab =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x –

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a =


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -4


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -4


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -4


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -4 b =


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -4 b = 9


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -4 b = 9


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2

b + a =

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2

b + a = 5

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 +

b + a = 5

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x

b + a = 5

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x

b + a = 5

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x

b + a = 5

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x

b + a = 5 ab =

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x

b + a = 5 ab = -36

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x –

b + a = 5 ab = -36

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x – 36

b + a = 5 ab = -36

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x – 36

b + a = 5 ab = -36

(x + a)(x + b) = x2 + (b + a)x + ab


11. (x + 3)(x + 7) = _________________

12. (x + 8)(x – 5) = _________________

13. (x – 4)(x + 9) = _________________


a = 3 b = 7x2 + 10x + 21

b + a = 10 ab = 21

a = 8 b = -5x2 + 3x – 40

b + a = 3 ab = -40

Use this pattern.

a = -4 b = 9x2 + 5x – 36

b + a = 5 ab = -36

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a =


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -6


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -6


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -6


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -6 b =


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -6 b = -3


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -6 b = -3


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2

b + a =

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2

b + a = -9

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 –

b + a = -9

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x

b + a = -9

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x

b + a = -9

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x

b + a = -9

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x

b + a = -9 ab =

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x +

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a =

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b =

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2

b + a =


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2

b + a = 10


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 +

b + a = 10


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x

b + a = 10


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x

b + a = 10


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x

b + a = 10


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x

b + a = 10 ab =


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x

b + a = 10 ab = 16


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x +

b + a = 10 ab = 16


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a =

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b =

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2

(x + a)(x + b) = x2 + (b + a)x + ab


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2

b + a =


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2

b + a = -5


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 –

b + a = -5


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x

b + a = -5


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x

b + a = -5


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x

b + a = -5


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x

b + a = -5 ab =


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x

b + a = -5 ab = -14


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x –

b + a = -5 ab = -14


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x – 14

b + a = -5 ab = -14


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x – 14

b + a = -5 ab = -14


14. (x – 6)(x – 3) = _________________

15. (x + 8)(x + 2) = _________________

16. (x – 7)(x + 2) = _________________


Use this pattern.

a = -6 b = -3x2 – 9x + 18

b + a = -9 ab = 18

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 2x2 + 10x + 16

b + a = 10 ab = 16

a = -7 b = 2x2 – 5x – 14

b + a = -5 ab = -14


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2

b + a =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2

b + a = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 –

b + a = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x

b + a = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x

b + a = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x

b + a = -5

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x

b + a = -5 ab =

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x –

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a =

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b =

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2

b + a =

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2

b + a = -8

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 –

b + a = -8

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x

b + a = -8

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x

b + a = -8

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x

b + a = -8

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x

b + a = -8 ab =

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x

b + a = -8 ab = 12

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x +

b + a = -8 ab = 12

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x + 12

b + a = -8 ab = 12

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x + 12

b + a = -8 ab = 12

(x + a)(x + b) = x2 + (b + a)x + ab


17. (x + 3)(x – 8) = _________________

18. (x – 2)(x – 6) = _________________


a = 3 b = -8x2 – 5x – 24

b + a = -5 ab = -24

Use this pattern.

a = -2 b = -6x2 – 8x + 12

b + a = -8 ab = 12

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a =


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -9


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -9


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -9


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -9 b =


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -9 b = 7


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

(x + a)(x + b) = x2 + (b + a)x + ab

a = -9 b = 7


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2

b + a =

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2

b + a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 –

b + a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x

b + a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x

b + a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x

b + a = -2

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x

b + a = -2 ab =

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x –

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

a =

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

a = 8

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

a = 8

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

a = 8

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

a = 8 b =

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

a = 8 b = 6

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

a = 8 b = 6

(x + a)(x + b) = x2 + (b + a)x + ab


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2

b + a =


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2

b + a = 14


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 +

b + a = 14


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x

b + a = 14


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x

b + a = 14


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x

b + a = 14


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x

b + a = 14 ab =


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x

b + a = 14 ab = 48


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x +

b + a = 14 ab = 48


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x + 48

b + a = 14 ab = 48


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x + 48

b + a = 14 ab = 48


19. (x – 9)(x + 7) = _________________

20. (x + 8)(x + 6) = _________________


Use this pattern.

a = -9 b = 7x2 – 2x – 63

b + a = -2 ab = -63

(x + a)(x + b) = x2 + (b + a)x + ab

a = 8 b = 6x2 + 14x + 48

b + a = 14 ab = 48



Now consider the same equations written as factoring problems.



x2 + 8x + 15 =



x2 + 8x + 15 = (x + 3)(x + 5)



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 =



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 =



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab =



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials.



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E.



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E. (The leading coefficient is 1.)



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E. (The leading coefficient is 1.) Looking at the pattern,



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E. (The leading coefficient is 1.) Looking at the pattern, it is clear that we must find two numbers a and b



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E. (The leading coefficient is 1.) Looking at the pattern, it is clear that we must find two numbers a and bwhose sum is the coefficient of x



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E. (The leading coefficient is 1.) Looking at the pattern, it is clear that we must find two numbers a and bwhose sum is the coefficient of x (the middle term)



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E. (The leading coefficient is 1.) Looking at the pattern, it is clear that we must find two numbers a and bwhose sum is the coefficient of x (the middle term) and whose product is the constant term.



x2 + 8x + 15 = (x + 3)(x + 5)

x2 + 13x + 42 = (x + 7)(x + 6)

x2 + 11x + 18 = (x + 9)(x + 2)

x2 + (b + a)x + ab = (x + a)(x + b)

The purpose of this part of this lesson is to demonstrate how tofactor ‘type 1’ trinomials. These are trinomials of the form 1x2 + Dx + E. (The leading coefficient is 1.) Looking at the pattern, it is clear that we must find two numbers a and bwhose sum is the coefficient of x (the middle term) and whose product is the constant term. Good luck.



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6 a = b =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6 a = 2 b =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6 a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6 a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6 a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x +

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x +

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = b =



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b =



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x –



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x –



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = b =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b =

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x +

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)(x

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)(x –

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)(x – 10)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)(x – 10)

x2 + (b + a)x + ab = (x + a)(x + b)



31. x2 + 5x + 6 = _________________

32. x2 – 3x + 2 = _________________

33. x2 – 7x – 30 = _________________

Use this pattern.

b + a = 5 ab = 6(x + 2)(x + 3)

a = 2 b = 3

b + a = -3 ab = 2 a = -1 b = -2(x – 1)(x – 2)

b + a = -7 ab = -30 a = 3 b = -10(x + 3)(x – 10)

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12 a = b =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12 a = 4 b =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12 a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12 a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12 a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x +

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x –

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72 a = b =



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72 a = 8 b =



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72 a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72 a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72 a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x +

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x +

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40

x2 + (b + a)x + ab = (x + a)(x + b)



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40 a = b =



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40 a = -5 b =



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40 a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40 a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40 a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x –

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)(x

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)(x –

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)(x – 8)

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)(x – 8)

a = -5 b = -8



34. x2 + x – 12 = _________________

35. x2 + 17x + 72 = _________________

36. x2 – 13x + 40 = _________________

b + a = 1 ab = -12(x + 4)(x – 3)

a = 4 b = -3

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 17 ab = 72(x + 8)(x + 9)

a = 8 b = 9

b + a = -13 ab = 40(x – 5)(x – 8)

a = -5 b = -8



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = b =

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b =

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x –

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)(x

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)(x +

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)(x + 20)

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)(x + 20)

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20(x – 1)(x + 20)

a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab =

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65 a = b =

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65 a = -13 b =

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65 a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65 a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65 a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x –

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x +

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab =

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77

x2 + (b + a)x + ab = (x + a)(x + b)

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77 a = b =

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77 a = 7 b =

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77 a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77 a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77 a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x +

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)(x

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)(x +

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)(x + 11)

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)(x + 11)

a = 7 b = 11

(x – 1)(x + 20)



37. x2 + 19x – 20 = _________________

38. x2 – 8x – 65 = _________________

39. x2 + 18x + 77 = _________________

Use this pattern.

b + a = 19 ab = -20 a = -1 b = 20

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -8 ab = -65(x – 13)(x + 5)

a = -13 b = 5

b + a = 18 ab = 77(x + 7)(x + 11)

a = 7 b = 11

(x – 1)(x + 20)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36 a = b =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36 a = -2 b =

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36 a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36 a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36 a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x –

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x –

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42 a = b =

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42 a = 6 b =

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42 a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42 a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42 a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x +

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x +

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

b + a = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

b + a = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

b + a = 7

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

b + a = 7 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

b + a = 7 ab = 12

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

b + a = 7 ab = 12

x2 + (b + a)x + ab = (x + a)(x + b)



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12 a = b =



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12 a = 3 b =



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12 a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12 a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12 a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x +

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)(x

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)(x +

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)(x + 4)

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)(x + 4)

a = 3 b = 4



40. x2 – 20x + 36 = _________________

41. x2 + 13x + 42 = _________________

42. x2 + 7x + 12 = _______________

b + a = -20 ab = 36(x – 2)(x – 18)

a = -2 b = -18

Use this pattern.

b + a = 13 ab = 42(x + 6)(x + 7)

a = 6 b = 7

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 7 ab = 12(x + 3)(x + 4)

a = 3 b = 4



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8 a = b =



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8 a = 1 b =



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8 a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8 a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8 a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x +

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x +

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12 a = b =



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12 a = 2 b =



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12 a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12 a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12 a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x +

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x +

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2

x2 + (b + a)x + ab = (x + a)(x + b)



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2 a = b =



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2 a = -1 b =



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2 a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2 a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2 a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x –

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)(x

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)(x –

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)(x – 2)

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)(x – 2)

a = -1 b = -2



43. x2 + 9x + 8 = _________________

44. x2 + 8x + 12 = _________________

45. x2 – 3x + 2 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 9 ab = 8(x + 1)(x + 8)

a = 1 b = 8

b + a = 8 ab = 12(x + 2)(x + 6)

a = 2 b = 6

b + a = -3 ab = 2(x – 1)(x – 2)

a = -1 b = -2



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20 a = b =



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20 a = -4 b =



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20 a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20 a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20 a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x –

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x –

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15 a = b =



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15 a = -3 b =



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15 a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15 a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15 a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x –

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x –

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24

x2 + (b + a)x + ab = (x + a)(x + b)



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24 a = b =



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24 a = -3 b =



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24 a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24 a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24 a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(xa = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x –a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)(xa = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)(x –a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)(x – 8)a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)(x – 8)a = -3 b = -8



46. x2 – 9x + 20 = ________________

47. x2 – 8x + 15 = _________________

48. x2 – 11x + 24 = _________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = -9 ab = 20(x – 4)(x – 5)

a = -4 b = -5

b + a = -8 ab = 15(x – 3)(x – 5)

a = -3 b = -5

b + a = -11 ab = 24(x – 3)(x – 8)a = -3 b = -8



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15 a = b =



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15 a = 5 b =



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15 a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15 a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15 a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x +

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x –

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a =

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab =

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14

x2 + (b + a)x + ab = (x + a)(x + b)



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14 a = b =



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14 a = 2 b =



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14 a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14 a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14 a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x +

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)(x

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)(x –

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)(x – 7)

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)(x – 7)

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)(x – 7)

a = 2 b = -7



49. x2 + 2x – 15 = _________________

50. x2 – 5x – 14 = ________________

Use this pattern.

x2 + (b + a)x + ab = (x + a)(x + b)

b + a = 2 ab = -15(x + 5)(x – 3)

a = 5 b = -3

b + a = -5 ab = -14(x + 2)(x – 7)

a = 2 b = -7Good luck on your homework !!

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Algebra I Lesson #1 Unit 11 Class Worksheet #1 For ...richardbondmath.com/algebra1/Unit11/lesson1.pdfAlgebra I Unit 11 Factoring To factor a whole number means to express the whole