Solving Higher Degree Polynomials by Factoring

Factor completely:
48x²y² - 75y²

• 3y²(4x - 5)(4x + 5)

• 3(4xy - 5y)(4xy + 5y)

• 3xy(4x - 5y)(4x + 5y)

• 3y²(16x² - 25)

Tags

CCSS.HSA.APR.C.4

Factor completely:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

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

• (x² - 4)(2x + 5)

• (2x - 5)(x² + 4)

• (2x² - 4)(x + 5)

• (x - 2)(x + 2)(2x + 5)

Factor this sum of cubes:
2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

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

a⁵b - 64 ab

• ab(a⁴ - 64)

• ab(a² - 8)(a² + 8)

• ab(a - 4)(a² + 4a  + 16)

• ab(a - 2)²(a + 2)²

Tags

CCSS.HSA.APR.C.4

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

250m³ +  54

• 2(5m + 3)(25m² - 15m + 9)

• 2(125m³ + 27)

• (5m + 3)(25m² - 15m + 9)

• cannot be factored

Tags

CCSS.HSA.APR.C.4

x⁴ - 81

• (x² - 9)(x² + 9)

• (x - 3)²(x + 3)²

• (x - 3)(x + 3)(x² + 9)

• (x - 3)⁴

Tags

CCSS.HSA.APR.C.4

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)