Teacher's Resources

14. Factorization of Algebraic Expressions

Click the correct answer.

What is the factorization of 2x² – 4x?

2x(x – 2)

2(x² – 2x)

x(2x – 4)

2(x² – 3x)

What is the factorization of 5(3x – 4) + 7(3x – 4)?

12(4x – 3)

12(3x + 4)

12(3x – 4)

12(x – 4)

What is the factorization of 9(x – y)² + 6(y – x)?

(x – y)(9x – 9y + 6)

(x – y)(9x – 9y – 6)

(x + y)(9x – 9y – 6)

(x + y)(9x – 9y + 6)

What is the factorization of (2x + y)(5x – 3y) – (x + y)(5x – 3y)?

x(3y – 5x)

x(5x + 3y)

x(5x – 3y)

x(3x + 3y)

What is the factorization of 6x²y + 2xy?

2xy(3x + 1)

2xy(3x – 1)

2x(3x + 1)

2xy(3y – 1)

What is the factorization of (x + y)(4x – 5y) – (x + y)(2x + 3y)?

2(x + y)(x + 4y)

2(x + y)(x – 4y)

2(x – y)(x – 4y)

2(x – y)(x + 4y)

What is the factorization of $$\frac{1}{16}x^{2}-\frac{1}{169}$$?

$$\left ( \frac{1}{4}x-\frac{1}{13} \right )\left ( \frac{1}{4}x-\frac{1}{13} \right )$$

$$\left ( \frac{1}{4}x+\frac{1}{13} \right )\left ( \frac{1}{4}x+\frac{1}{13} \right )$$

$$\left ( \frac{1}{4}x+\frac{1}{13} \right )\left ( \frac{1}{4}x-\frac{1}{13} \right )$$

$$\left ( \frac{1}{8}x-\frac{1}{13} \right )\left ( \frac{1}{8}x+\frac{1}{13} \right )$$

What is the factorization of 25a² – 4b² + 28bc – 49c²?

(5a – 2b + 7c)(5a – 2b + 7c)

(5a + 2b – 7c)(5a – 2b + 7c)

(5a + 2b – 7c)(5a + 2b + 7c)

(5a + 2b + 7c)(5a – 2b + 7c)

What is the HCF of 21x⁶y⁷, 35x⁴y³z and 42x⁷y⁴z²?

7x⁴y³

7x³y³

7x³y⁴

7x³y⁵

What is the HCF of –9x⁶y⁶z⁷u⁵, 18x⁵y⁷z⁶u⁴, –27x⁷y⁸z⁵u⁴and 45x⁸y⁶z⁴u³?

3x⁵y⁶z⁴u³

9x⁵y⁴z⁶u³

9x⁵y⁶z⁴u³

12x⁵y⁶z⁴u³

Typing

Factorize 6x² + 18 and type your answer.

Factorize 2x² – 16x + 24 and type your answer.

Factorize x²y² – xy and type your answer.

Factorize 9xy – 27xy² and type your answer.

Factorize y⁴(p + 2q) + y²(p + 2q) and type your answer.

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