Factoring Polynomials

Factor Completely:

x² - 17x + 72

• (x - 9)(x + 8)

• (x - 9)(x - 8)

• x(x - 3)

• (x + 9)(x + 8)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

Factor completely:
x³+7x²-2x-14

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor completely:
2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)
• (2x - 5)(x² + 4)
• (2x² - 4)(x + 5)
• (x - 2)(x + 2)(2x + 5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:
3x⁴ + 3x³ - 12x² - 12x

• 3x(x³ + x²- 4x - 4)
• 3x(x²-4)(x+1)
• 3x(x+2)(x-2)(x+1)
• 3x(x²+4)(x-1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

4w⁴ + 16w² + 15

• (w² + 10)(w² + 6)

• (2w²+ 5)(2w² + 3)

• (w² + 15)(4w² + 1)

• (2w + 5)(2w + 3)

Tags

CCSS.HSA.APR.C.4

Factor Completely:

256x⁴ - 81

• (16x² + 9)(16x² - 9)

• (16x² + 9)(4x + 3)(4x - 3)

• (4x² + 9)(4x² - 9)

• (16x² + 9)(2x + 6)(2x -6)

Tags

CCSS.HSA.APR.C.4