factoring-quiz

Factoring is a fundamental skill in algebra that allows you to break down complex expressions into simpler components. This quiz will challenge your understanding and application of various factoring techniques. Sharpen your pencils and get ready to factor your way to success!
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Factoring Quiz
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1. What is the greatest common factor (GCF) of 24 and 36?
Hint: Find the largest number that divides both 24 and 36 without leaving a remainder.

Factoring Quiz Questions Overview

1. What is the greatest common factor (GCF) of 24 and 36?

6
8
12
18

2. Factor the expression: x^2 – 9

(x – 3)(x + 3)
(x – 9)(x + 9)
(x – 1)(x + 9)
(x – 3)(x + 9)

3. Factor the expression: x^2 + 5x + 6

(x + 1)(x + 6)
(x + 2)(x + 3)
(x + 1)(x + 5)
(x + 2)(x + 4)

4. What is the factored form of x^2 – 4x + 4?

(x – 2)(x – 2)
(x + 2)(x + 2)
(x – 4)(x + 1)
(x – 2)(x + 2)

5. Factor the expression: 2x^2 + 8x

2x(x + 4)
x(2x + 8)
2(x^2 + 4x)
(2x + 2)(x + 4)

6. What is the factored form of x^2 – 16?

(x – 4)(x + 4)
(x – 16)(x + 1)
(x – 8)(x + 2)
(x – 4)(x + 2)

7. Factor the expression: 3x^2 – 12x

3x(x – 4)
x(3x – 12)
3(x^2 – 4x)
(3x – 3)(x – 4)

8. What is the factored form of x^2 + 6x + 9?

(x + 3)(x + 3)
(x + 1)(x + 9)
(x + 2)(x + 7)
(x + 3)(x + 9)

9. Factor the expression: x^2 – 10x + 25

(x – 5)(x – 5)
(x – 1)(x – 25)
(x – 2)(x – 12)
(x – 5)(x + 5)

10. What is the factored form of 4x^2 – 9?

(2x – 3)(2x + 3)
(4x – 9)(x + 1)
(2x – 9)(2x + 1)
(4x – 3)(x + 3)
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