Higher Order Factoring Review Honors

Factor: x²-8x+12

• (x+2)(x+6)
• (x-2)(x-6)
• (x-3)(x-4)
• (x+3)(x+4)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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: 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: 12c³ + 12

• Prime
• 12(c-1)(c²+c+1)
• 12(c+1)(c² - c + 1)
• 12(c+1)(c² + c - 1)

Tags

CCSS.HSA.APR.C.4

Factor completely.

x⁶ + 64

• x³(x³ + 4)

• (x²+4)(x⁴ + 4x² + 4)

• (x²+4)(x⁴ - 4x² + 16)

• Not here

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: x⁴ − 7x² − 18

• (x + 3)²(x² − 2)

• (x − 3)²(x² + 2)

• (x² + 9)(x² − 2)

• (x − 3)(x + 3)(x² + 2)

Tags

CCSS.HSA.APR.C.4

Factor: 9x⁴ − 64

• (3x² − 8)(3x² + 8)

• (3x² − 4)(3x² + 4)

• (3x² − 8)²

• (3x² − 4)²

Tags

CCSS.HSA.APR.C.4

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

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