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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.

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)