Perfect Square Trinomials Worksheet
Grade 11 Algebra worksheet focusing on identifying, factoring, and constructing perfect square trinomials.
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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?
x² + 6x + 8
x² + 10x + 25
x² - 4x + 16
x² - 8x - 16
2. The factored form of x² - 12x + 36 is:
(x + 6)(x - 6)
(x + 6)²
(x - 6)²
(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.
True
False
8. The expression x² - 10x - 100 can be factored as a perfect square trinomial.
True
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.
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