Factoring Higher-order Polynomials

Factor the sum of cubes:

x³ + 27

• (x + 3) (x² - 3x + 9)

• (x - 3) (x² + 3x + 9)

• (x + 3)(x + 9)

• Prime

  (can't be factored)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the sum of cubes.

x³ + 125

• (x + 5)(x² - 5x + 25)

• (x + 5)(x - 5)

• (x - 5)(x² + 5x + 1)

• prime

Factor the sum of cubes.

x⁶ + 64

• x³(x³ + 4)

• (x³+4)(x⁶ + 4x³ + 4)

• (x³+4)(x⁶ - 4x³ + 16)

• Not here

Factor the sum of cubes.

27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the difference of squares.

9x⁴ − 64

• (3x² − 8)(3x² + 8)

• (3x² − 4)(3x² + 4)

• (3x² − 8)²

• (3x² − 4)²

Factor by grouping.

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping.

30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the GCF and difference of squares:

5x⁴-5

• 5(x²-1)(X²+1)

• 25(x²-1)(x²+1)

• 5(x+1)(x-1)(x²+1)

• 5(x⁴-1)

Factor by grouping.

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3