Factoring TrinomialsModule 10 - Topic 2

Part 1

Standard Form of a TrinomialStandard form for a trinomial is:

ax2 + bx + c

Standard Form of a TrinomialStandard form for a trinomial is:

Such asax2 + bx + c

Standard Form of a TrinomialStandard form for a trinomial is:

Such as(A)

ax2 + bx + c

3x2 + 2x + 9

Standard Form of a TrinomialStandard form for a trinomial is:

Such as(A)

(B)

ax2 + bx + c

3x2 + 2x + 92t 2 − 5t + 7

Standard Form of a TrinomialStandard form for a trinomial is:

Such as(A)

(B)

(C)

Notice the variable doesn’t have to be x.

ax2 + bx + c

3x2 + 2x + 9

d 2 + 4d −12t 2 − 5t + 7

Identifying Parts of a Trinomial

Such asax2 + bx + c

3x2 + 2x + 9

Identifying Parts of a Trinomial

Such asax2 + bx + c

3x2 + 2x + 9

a = 3b = 2c = 9

Identifying Parts of a Trinomial

Such asax2 + bx + c

3x2 + 2x + 9 2t 2 − 5t + 7

a = 3b = 2c = 9

Identifying Parts of a Trinomial

Such asax2 + bx + c

3x2 + 2x + 9 2t 2 − 5t + 7

a = 3b = 2c = 9

a = 2b = −5c = 7

Identifying Parts of a Trinomial

Such asax2 + bx + c

3x2 + 2x + 9 d 2 + 4d −12t 2 − 5t + 7

a = 3b = 2c = 9

a = 2b = −5c = 7

Identifying Parts of a Trinomial

Such asax2 + bx + c

3x2 + 2x + 9 d 2 + 4d −12t 2 − 5t + 7

a = 3b = 2c = 9

a = 2b = −5c = 7

a = 1b = 4c = −1

Multiplying Binomials ReviewRecall that multiplying 2 binomials resulted in a trinomial.

Multiplying Binomials ReviewRecall that multiplying 2 binomials resulted in a trinomial.

Such as: 2x + 3( ) x + 5( ) = 2x2 +13x +15

Multiplying Binomials ReviewRecall that multiplying 2 binomials resulted in a trinomial.

Such as:

Given the result, the 2 binomial factors are not apparent but sometimes you want to find the binomial factors.

2x + 3( ) x + 5( ) = 2x2 +13x +15

Factoring Trinomials when a > 1Watch a 4 minute video to learn the box method for factoring trinomials.

This method can be applied to all factorable trinomials (and some binomials!).

More Factoring...In the previous example all terms were positive but this isn’t always the case.

More Factoring...In the previous example all terms were positive but this isn’t always the case.Sometimes b, c, or b & c are negative. Such as:

More Factoring...In the previous example all terms were positive but this isn’t always the case.Sometimes b, c, or b & c are negative. Such as:2x2 + 7x −15

More Factoring...In the previous example all terms were positive but this isn’t always the case.Sometimes b, c, or b & c are negative. Such as:2x2 + 7x −15

or 12x2 −11x + 2

More Factoring...In the previous example all terms were positive but this isn’t always the case.Sometimes b, c, or b & c are negative. Such as:2x2 + 7x −15

or 12x2 −11x + 2or 30x2 −11x −14

More Factoring...In the previous example all terms were positive but this isn’t always the case.Sometimes b, c, or b & c are negative. Such as:

Watch this 4 minute video to learn how to factor using boxes when b is negative.

2x2 + 7x −15or 12x2 −11x + 2

or 30x2 −11x −14

Please log into Explore Learning website using the username and password given to you AND found in the support documents.Search for the "Modeling the Factorization of ax2+bx+c" Gizmo and launch the Gizmo.After you have completed at least 5 Gizmo problems, scroll down to the Assessment Questions and complete the 4 multiple choice problems.Pronto or message me if you have questions.

Gizmo Practice Activity

Factoring PracticeTry these Cool Math problems to practice factoring trinomials when a > 1. Keep working until you get 3 in a row correct without a hint!Select “Give me a Problem” to keep trying problems. After completing your work in a notebook, select “What’s the Answer?” to compare your answer with the correct answer. Message or Pronto me if you need help!

Great Job!You’ve finished reviewing Factoring when a > 1.Exit and proceed to Factoring Trinomials Part 2.