Factoring Expressions Worksheet

This worksheet provides practice problems for factoring various types of algebraic expressions, suitable for Grade 12 mathematics students.

Grade 12 Math AlgebraExpressionsEquivalent ExpressionsFactoring Expressions

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Includes

4 Short AnswerMultiple ChoiceFill in the Blanks

Standards

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

Topics

MathAlgebraFactoringExpressionsGrade 12

8 sections · Free to use · Printable

Factoring Expressions

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

1. Factor the expression: 4x² - 9

2. Factor the expression: 25y² - 16z²

3. Factor the expression: x² + 7x + 10

4. Factor the expression: m² - 8m + 15

5. Factor the expression: 3x² + 10x + 8

6. Factor the expression: 2y² - 5y - 12

7. Factor the expression: x³ + 2x² + 3x + 6

8. Factor the expression: 2ab - 6a + 5b - 15

9. Which of the following is a factor of x² - 11x + 28?

(x + 4)

(x - 7)

(x + 7)

(x - 11)

10. The greatest common factor of 6x³ and 9x² is .

11. When factoring a difference of squares, the two binomial factors are of each other.

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