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6.2Factoring Simple Quadratics
Objective: Learn/review the basics needed for factoring.
Vocabulary
• Factor• Factor Pairs• Addition• Multiplication• Product• F.O.I.L.• Division Rules
Division Rules
2345678910
even number (numbers ending in 0, 2, 4, 6, or 8)
add the digits together, is the sum divisible by 3? recursive
check the last two digits
ends in 5 or 0
divisible by 2 and 3
use calculator (there is a test, but it is very time consuming)
check the last three digits
add the digits together, is the sum divisible by 9? recursive ends in 0
Find the factor pairs of this number.
20
Sum the factor pairs of this number.
20
1 20
2 10
4 5
Find and sum the factor pairs of this number.
40
Find and sum the factor pairs of this number.
45
Find and sum the factor pairs of this number.
64
Find and sum the factor pairs of this number.
51
Find and sum the factor pairs of this number.
100
Find and sum the factor pairs of this number.
150
Factor the following expressions:x2 + 5x + 4
Step 1: Find the factors of 4 that sum to 5.
Step 2: Can you say “Template”?(x + )(x + )
Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.
(x + )(x + )4 1Step 4: F.O.I.L. to check your work.
Factor the following expressions:z2 + 9z + 8
Step 1: Find the factors of 8 that sum to 9.
Step 2: Can you say “Template”?(z + )(z + )
Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.
(z + )(z + )8 1Step 4: F.O.I.L. to check your work.
Factor the following expressions:
Step 1: Find the factors of that sum to .
Step 2: Can you say “Template”?(x + )(x + )
Step 3: Fill in the blanks in the template with the appropriate factor pair from step 1.
(x + )(x + )Step 4: F.O.I.L. to check your work.
Integer Multiplication
+ + +
- + -
+ - -
- - +
Quadratic Factoring Permutations (possibilities)
+ + both factors are positive
- - both factors are negative
+ - the factors have opposite signs
- +
There are four permutations of the signs in a quadratic equation.
x2 - 5x + 4
Factor the following expressions:
x2 - 5x + 4
Factor the following expressions:
z2 + 2z - 8
Factor the following expressions:
z2 - 3z - 10
Assignment
6.2 Worksheet
