Factoring Polynomials

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor
5x²-28x+32

• (3x-10)(x+6)
• (x-8)(5x-4)
• (5x-8)(x-4)
• (5x-8)(x+7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

factor completely 
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor Completely:
2x² - 2x - 6

• 2(x + 3)(x - 1)
• 2(x + 2)(x - 3)
• 2(x² - x - 3)
• 2(x² - 2x - 6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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
27x³-64

• (3x-4)(9x²+12x+16)
• (3x-4)(9x²-12x+16)
• (3x+4)(9x²-12x+16)
• (3x+4)(9x²+12x+16)

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

25x² - 36y²

• 5x + 6y(5x - 6y)

• (5x + 6y) (5x - 6y)

• (5x + 6y)²

• (5x - 6y)²

Tags

CCSS.HSA.APR.C.4