Factoring Higher Degree Polynomials

Factor the polynomial: 4x^5 - 16x^4 + 8x^3

• 4x^3(x^2 - 4x + 2)

• 4x^3(x^2 - 2x + 1)

• 4x^3(x^2 + 4x + 2)

• 4x^3(x^2 - 4x + 8)

Factor the polynomial: -5x^6 + 25x^4 - 20x^2

• -5x^2(x^2 + 2)(x^2 + 1)

• -5x^2(x^2 + 4)(x^2 + 1)

• -5x^2(x^2 - 4)(x^2 - 1)

• -5x^2(x^2 - 2)(x^2 - 1)

Tags

CCSS.HSA.APR.C.4

Factor the cubic polynomial: x^3 - 8

• (x-3)(x^2 + 3x + 9)

• (x-4)(x^2 + 4x + 16)

• (x-1)(x^2 + x + 1)

• (x-2)(x^2 + 2x + 4)

Tags

CCSS.HSA.APR.C.4

Factor the cubic polynomial: 2x^3 + 16x^2 + 32x

• 2x^2(x + 4)

• 2x(x + 8)

• 2x(x + 4)

• 2x(x + 4)^2

Factor the cubic polynomial: -3x^3 + 27x^2 - 63x

• -3x(x + 3)(x - 7)

• -3x(x - 3)(x + 7)

• -3x(x + 2)(x - 8)

• -3x(x - 3)(x - 7)

Factor the quartic polynomial: x^4 - 16

• (x^2 + 4)(x + 2)(x - 2)

• (x^2 + 4)(x - 2)(x - 2)

• (x^2 + 4)(x + 2)(x + 2)

• (x^2 - 4)(x + 2)(x - 2)

Tags

CCSS.HSA.APR.C.4

Factor the polynomial: 2x^3 - 8x^2 + 4x

• 2x(x - 2)(x + 2)

• 2x(x - 2)(x + 4)

• 2x(x + 2)(x + 2)

• 2x(x - 2)(x - 2)

Factor Completely: 16q³-48q²+36q

• 4q(2q-3)²

• 4q(2q+3)²

• 4(4q³-12q²+9q)

• 4q(2q-3)(2q+3)

Tags

CCSS.HSA.APR.C.4

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 Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Tags

CCSS.HSA.APR.C.4