Factoring Polynomials

Factor x²-8x+7

• (x+1)(x+8)
• (x+1)(x+7)
• (x-7)(x-1)
• (x+1)(x-7)

Factor
3v² - 4v - 7

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

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Factor:
x² - 49

• (x + 7)(x - 7)
• (x + 7)²
• (x - 7)²
• (x+7)(x-1)

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

x⁴ - 36

• (x + 6)(x - 6)
• (x + 3)(x - 3)(x² + 6)
• cannot be factored
• (x² - 6)(x²+ 6)

10x⁵y - 40xy³

• 10xy(x⁴ - 4y²)
• cannot be factored
• 10xy(x² - 2y)(x² + 2y)
• (x² - 2y)(x² + 2y)

x⁴ - 81

• (x² - 9)(x² + 9)
• (x - 3)²(x + 3)²
• (x - 3)(x + 3)(x² + 9)
• (x - 3)⁴

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

k³ - 27

• (k - 3)³
• (k - 3)(k² + 3k + 9)
• (k + 3)(k² - 3k + 9)
• (k - 3)(k² - 3k + 9)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

a⁵b - 64 ab

• ab(a⁴ - 64)
• ab(a² - 8)(a² + 8)
• ab(a - 4)(a² + 4a  + 16)
• ab(a - 2)²(a + 2)²