Factoring Higher Order Polynomials

Factor: 9x⁴ − 64

• (3x² − 8)(3x² + 8)

• (3x² − 4)(3x² + 4)

• (3x² − 8)²

• (3x² − 4)²

Tags

CCSS.HSA.APR.C.4

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

Tags

CCSS.HSA.APR.B.2

Factor:
x³ + 27

• (x + 3) (x² - 3x + 9)

• (x - 3) (x² + 3x + 9)

• (x + 3)(x + 9)

• Prime
  (can't be factored)

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: 5x⁴-5

• 5(x²-1)(X²+1) 

• 25(x²-1)(x²+1)

• 5(x+1)(x-1)(x²+1)

• 5(x⁴-1)

Tags

CCSS.HSA.APR.C.4

Factor completely: 
x⁴ + 4x² - 32

• (x - 4)(x + 8)

• (x² - 4)(x² + 8)

• (x - 2)(x + 2)(x + 4)(x + 4)

• (x - 2)(x + 2)(x² + 8)

Tags

CCSS.HSA.APR.C.4

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 completely:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

• (x⁴ - 16)(x - 3)
• (x+2)(x-2)(x²+4)(x-3)
• (x⁴ + 16)(x - 3)
• (x² + 4)(x² - 4)(x-3)