Factoring Trinomials: The AC Method

This worksheet provides practice with factoring quadratic trinomials using the AC method for 8th-grade algebra students.

Grade 8 Math AlgebraFactoringAc Method

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Includes

Fill in the Blanks3 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.2CCSS.MATH.CONTENT.HSA.SSE.B.3.A

Topics

algebrafactoringAC methodtrinomialsquadratic

8 sections · Free to use · Printable

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Factor each trinomial using the AC Method. Show all your work. Remember the steps:

1. Identify a, b, and c in the trinomial ax² + bx + c.

2. Multiply a and c (AC).

3. Find two numbers that multiply to AC and add to b.

4. Rewrite the middle term (bx) using these two numbers.

5. Factor by grouping.

For each trinomial, identify the values of a, b, and c.

1. x² + 7x + 10

a = b = c =

2. 2x² - 5x - 3

a = b = c =

3. 3x² + 10x + 8

a = b = c =

Factor the following trinomials where a = 1.

4. x² + 8x + 15

5. x² - 6x + 8

Factor the following trinomials where a > 1.

6. 2x² + 7x + 6

7. 3x² - 10x + 8

8. Which of the following is a factor of 4x² + 8x + 3?

(x + 1)

(2x + 1)

(4x + 1)

(2x + 3)

9. The trinomial x² + 2x + 1 can be factored into (x + 1)(x + 1).

True

False

10. Factor the trinomial 6x² + 11x - 10.