Algebra Factorization Quiz
Test your knowledge of algebraic factorization. Please answer all questions to the best of your ability.
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1. Which of the following is the correct factorization of x² + 5x + 6?
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(x + 2)(x + 3)
(x + 1)(x + 6)
(x - 2)(x - 3)
(x + 6)(x - 1)
2. Factor the following completely: x² - 9
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3. Which expressions are factorizations of x² - 4x? (Select all that apply)
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x(x - 4)
(x - 2)(x + 2)
x(x + 4)
x²(1 - 4)
x² + 2x + 1 = (x +
Value inside the parentheses
)²
5. Match each expression to its correct factorization.
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Rows
Factorization
x² + 7x + 12
(x + 2)(x + 5)
(x - 3)(x + 3)
(x + 1)(x + 7)
(x + 4)²
x² - 9
(x + 2)(x + 5)
(x - 3)(x + 3)
(x + 1)(x + 7)
(x + 4)²
x² + 8x + 16
(x + 2)(x + 5)
(x - 3)(x + 3)
(x + 1)(x + 7)
(x + 4)²
x² + 8x + 7
(x + 2)(x + 5)
(x - 3)(x + 3)
(x + 1)(x + 7)
(x + 4)²
6. Factor the following expression by grouping: x² + 3x + 2x + 6
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7. Which of the following is a special product?
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x² - 16
x² + 4x + 4
x² + 5x + 6
x² - x - 2
8. Rate your confidence in your answers for this quiz.
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9. Explain in your own words the steps to factor a quadratic expression.
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