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