Factoring Cubic Polynomials

Factor the cubic polynomial: x^3 - 64

• (x - 6)(x^2 + 6x + 36)

• (x - 4)(x^2 + 4x + 16)

• (x - 2)(x^2 + 2x + 4)

• (x - 8)(x^2 + 8x + 64)

Tags

CCSS.HSA.APR.C.4

Factor the cubic polynomial: x^3 - 27

• (x - 3)(x^2 + 3x + 9)

• (x + 3)(x^2 + 3x - 9)

• (x - 3)(x^2 - 3x + 9)

• (x + 3)(x^2 - 3x + 9)

Tags

CCSS.HSA.APR.C.4

20x³ - 25x² + 4x - 5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

What is the sum of cubes formula for factoring cubic polynomials?

• (a + b)(a^2 + ab + b^2)

• (a - b)(a^2 + ab + b^2)

• (a + b)(a^2 + ab - b^2)

• (a + b)(a^2 - ab + b^2)

Tags

CCSS.HSA.APR.C.4

Factor by grouping:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n³+3)(n-2)

• (5n²-3)(n-2)

• 10n(n²-6)

Factor by grouping: 4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor by grouping:

x³ + 7x² - 2x - 14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

7r³ - 8r² + 42r - 48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)