Mastering Factorization Skills

What are the factors of 36?

• [1, 2, 3, 4, 6, 9, 12, 18, 36]

• 5, 7, 10, 11

• 20, 30, 40, 50

• 8, 14, 15, 24

Factor the quadratic expression: x² + 5x + 6.

• (x + 4)(x + 2)

• (x + 2)(x + 3)

• (x - 2)(x - 3)

• (x + 1)(x + 6)

Use the distributive property to simplify: 3(x + 4).

• 3x + 7

• x + 12

• 3x + 4

• 3x + 12

Factor by grouping: x³ + 3x² + 2x + 6.

• (x + 6)(x² + 1)

• (x + 2)(x² + 3)

• (x + 1)(x² + 6)

• (x + 3)(x² + 2)

What is the prime factorization of 60?

• 2^2 × 3 × 5

• 2^3 × 3 × 5

• 2 × 3 × 10

• 3 × 4 × 5

Identify the factors of 45.

• [1, 3, 5, 9, 15, 45]

• 7, 14, 21, 28, 35, 42

• 2, 4, 6, 8, 10, 12

• 11, 13, 17, 19, 23, 29

Factor the quadratic expression: x² - 7x + 10.

• (x - 3)(x - 4)

• (x - 1)(x - 10)

• (x + 5)(x + 2)

• (x - 5)(x - 2)

Use the distributive property to expand: 2(3y + 5).

• 2(3y) + 10

• 6y + 5

• 3y + 2(5)

• 6y + 10

Factor by grouping: 4x² + 8x - 3x - 6.

• (4x + 6)(x - 1)

• (2x + 3)(2x - 2)

• (4x + 3)(x - 2)

• (4x - 3)(x + 2)

What are the prime factors of 81?

• 7

• 5

• 2

• 3