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AC Method Factoring Worksheet

Grade 10 math worksheet on factoring quadratic expressions using the AC method, including multiple choice, fill-in-the-blank, and short answer questions.

Grade 10 Math AlgebraFactoringAc Method
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.ACCSS.MATH.CONTENT.HSA.APR.B.3

Topics

AlgebraFactoringQuadraticAC MethodGrade 10
7 sections · Free to use · Printable
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AC Method Factoring Worksheet

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Date:

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Read each question carefully and factor the quadratic expressions using the AC method. Show all your work for short answer questions.

1. What are the two numbers that multiply to 12 and add to 7?

a

3 and 4

b

2 and 6

c

1 and 12

d

5 and 2

2. Which of the following is the factored form of x² + 5x + 6?

a

(x + 2)(x + 3)

b

(x + 1)(x + 6)

c

(x - 2)(x - 3)

d

(x - 1)(x - 6)

3. In the quadratic expression ax² + bx + c, the 'AC' in the AC method refers to the product of the coefficient of x² and the   term.

4. To factor 2x² + 7x + 3 using the AC method, you first find two numbers that multiply to   and add to  .

5. Factor the quadratic expression 3x² + 10x + 8 using the AC method. Show all your steps.

6. The AC method can be used to factor any quadratic expression.

T

True

F

False

7. Factor the quadratic expression 6x² - 11x + 3 using the AC method.

8. Factor the quadratic expression 4x² + 4x - 15 using the AC method.

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