Factoring Trinomials: The AC Method

This worksheet provides practice with factoring trinomials of the form ax^2 + bx + c using the AC method for Grade 11 math students.

Grade 11 Math AlgebraFactoringAc Method

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

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

Topics

algebrafactoringAC methodtrinomialsgrade 11

7 sections · Free to use · Printable

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Read each question carefully and factor the given trinomials using the AC method. Show all your work.

1. Factor the trinomial: 2x² + 7x + 3

2. Factor the trinomial: 3x² - 10x + 8

3. Factor the trinomial: 4x² + 4x - 3

4. Which of the following is a factor of 6x² + 19x + 10?

(3x + 2)

(2x + 5)

(3x + 5)

(6x + 1)

5. What are the two numbers that multiply to 15 and add to -8 when factoring x² - 8x + 15 using the AC method (where a=1)?

3 and 5

-3 and -5

-3 and 5

3 and -5

6. In the AC method, 'A' represents the coefficient of the term, and 'C' represents the term.

7. To factor 5x² + 13x + 6, you first multiply A and C to get .

8. The AC method can only be used when the leading coefficient 'a' is not equal to 1.

True

False

9. Factor the trinomial: 12x² - x - 6