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Perfect Square Trinomials Worksheet

Grade 11 Algebra worksheet focusing on identifying, factoring, and constructing perfect square trinomials.

Grade 11 Math AlgebraPerfect Square Trinomial
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

AlgebraFactoringPolynomialsTrinomialsPerfect Square
7 sections · Free to use · Printable
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Perfect Square Trinomials

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Read each question carefully and follow the instructions. Show all your work for full credit.

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

a

x² + 6x + 8

b

x² + 10x + 25

c

x² - 4x + 16

d

x² - 8x - 16

2. The factored form of x² - 12x + 36 is:

a

(x + 6)(x - 6)

b

(x + 6)²

c

(x - 6)²

d

(x - 12)²

3. A perfect square trinomial is a trinomial that results from squaring a  .

4. For a trinomial ax² + bx + c to be a perfect square trinomial, the middle term 'b' must be equal to  .

5. Factor the following perfect square trinomial: 9x² + 24x + 16

6. Factor the following perfect square trinomial: 25y² - 70y + 49

7. The expression 4x² + 20x + 25 is a perfect square trinomial.

T

True

F

False

8. The expression x² - 10x - 100 can be factored as a perfect square trinomial.

T

True

F

False

9. Find the value of 'k' that makes the trinomial x² + 14x + k a perfect square trinomial.

10. Find the value of 'c' that makes the trinomial 4x² - 28x + c a perfect square trinomial.