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Factoring Expressions Worksheet

This worksheet provides practice on factoring various algebraic expressions, including trinomials, binomials, and expressions with common factors, suitable for Grade 10 math students.

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Grade 10 Math AlgebraExpressionsEquivalent ExpressionsFactoring Expressions
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Includes

4 Short AnswerMultiple Choice

Standards

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

Topics

FactoringAlgebraExpressionsGrade 10
7 sections · Free to use · Printable
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Factoring Expressions

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Read each question carefully and factor the given expressions completely. Show all your work.

Factor each trinomial. (2 points each)

1. x² + 7x + 10

2. y² - 9y + 18

3. m² + 2m - 24

Factor each trinomial. (3 points each)

4. 2x² + 11x + 5

5. 3a² - 10a + 8

6. 4b² - 4b - 15

Factor the following special cases. (2 points each)

7. x² - 81

8. 9y² - 49

9. 4m² + 12m + 9

Factor completely. (3 points each)

10. 3x³ - 12x² + 9x

11. 2ab + 4a + 3b + 6

12. Which of the following is a factor of x² - x - 6?

a

(x + 3)

b

(x - 2)

c

(x + 2)

d

(x + 1)

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