Perfect Square Trinomials

This worksheet focuses on identifying, factoring, and constructing perfect square trinomials, essential skills for Grade 12 Algebra.

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Grade 12 Math AlgebraPerfect Square Trinomial

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

AlgebraFactoringTrinomialsPerfect Square

7 sections · Free to use · Printable

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Perfect Square Trinomials

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Read each question carefully and provide the best answer. Show all your work for full credit.

1. Which of the following is a perfect square trinomial?

x² + 5x + 25

4x² - 12x + 9

9x² + 6x + 4

x² - 10x - 100

2. A perfect square trinomial is the result of squaring a .

3. The general form of a perfect square trinomial is a² ± 2ab + b², which factors to .

4. Factor the following perfect square trinomial: 16x² + 40x + 25

5. Factor: 9y² - 48y + 64

6. The expression x² + 14x + 49 is a perfect square trinomial.

True

False

7. The middle term of a perfect square trinomial is always twice the product of the square roots of the first and last terms.

True

False

8. Find the value of 'c' that makes x² - 18x + c a perfect square trinomial.

9. Determine the missing term to make the expression a perfect square trinomial: 4x² + + 81

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