Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
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Perfect Square Trinomials
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Read each question carefully and answer to the best of your ability. 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 + 3
x² - 7x + 10
2. Which expression is a perfect square trinomial?
4y² + 12y + 9
9y² - 6y + 4
16y² + 8y + 1
All of the above
Complete the square to make each expression a perfect square trinomial.
3. x² + 14x +
4. y² - 20y +
5. 4m² + 24m +
Factor each perfect square trinomial.
6. x² + 18x + 81
7. 9y² - 30y + 25
Determine if each statement is true or false.
8. (3x + 4)² = 9x² + 12x + 16
True
False
9. A trinomial of the form a² - 2ab + b² can be factored as (a - b)².
True
False
10. The area of a square is given by the expression 25x² + 40x + 16. What is the length of one side of the square?
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