Mixed Factoring Review

Factor the quadratic trinomial: x² + 5x + 6

• (x + 4)(x + 5)

• (x + 2)(x + 3)

• (x - 2)(x - 3)

• (x + 1)(x + 6)

Tags

CCSS.HSA.APR.B.3

Factor the sum of two perfect cubes: 8x³ + 27

• (2x + 3)(4x² - 6x + 9)

• (2x + 3)(2x² + 6x - 9)

• (2x + 3)(4x² - 6x - 9)

• (2x + 3)(2x² + 6x + 9)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor the sum of two perfect cubes: 64x³ + 1

• (4x + 1)(16x² + 4x + 1)

• (4x + 1)(16x² - 4x + 1)

• (4x + 1)(16x² - 4x - 1)

• (4x - 1)(16x² - 4x + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor the difference of two perfect cubes: 27x³ - 8

• (3x - 2)(9x² + 6x - 4)

• (3x - 2)(9x² - 6x + 4)

• (3x - 2)(9x² + 6x + 4)

• (3x + 2)(9x² - 6x + 4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping: 2x^3 + 3x^2 + 4x + 6

• (2x + 3)(x^2 + 3)

• (2x + 3)(x^2 + 6)

• (2x + 3)(x^2 + 4)

• (2x + 3)(x^2 + 2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor using GCF: 12x² + 18x

• 6x(2x + 3)

• 4x(3x + 2)

• 3x(4x + 6)

• 2x(6x + 9)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor using GCF: 15x^3 - 10x^2 + 5x

• 5x(3x^2 - 2x - 1)

• 5x(3x^2 - 2x)

• 5x(3x^2 - 2x + 1)

• 5x(3x^2 + 2x + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the quadratic trinomial: x² - 7x + 10

• (x - 5)(x + 2)

• (x - 5)(x - 2)

• (x + 5)(x - 2)

• (x + 5)(x + 2)

Factor using GCF: 24x² - 16x

• 8x(3x - 2)

• 4x(6x - 4)

• 2x(12x - 8)

• 6x(4x - 3)

Factor the difference of two perfect cubes: 125x³ - 1

• (5x - 1)(25x² - 5x + 1)

• (5x + 1)(25x² + 5x + 1)

• (5x + 1)(25x² - 5x + 1)

• (5x - 1)(25x² + 5x + 1)