Factoring Polynomials

Factor x²-8x+7

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x²-x-12

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor x²+4x-32

• (x+8)(x-4)
• (x-8)(x-4)
• (x-8)(x+4)
• (x+8)(x+4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:
x² + x - 6

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor Completely:
x² - 12x + 35

• (x + 5)(x + 7)
• (x - 5)(x - 7)
• (x - 5)(x + 7)
• (x + 5)(x - 7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

10x⁵y - 40xy³

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

Tags

CCSS.HSA.APR.C.4

2n³ + 7n² - 2n - 7

• cannot be factored
• (n - 1)²(2n + 7)
• (n² - 1)(2n + 7)
• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

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

Find the factors of x²-81

• (x-9)(x+9)
• (x+9)(x+9)
• (x-9)(x-9)
• Can't be factored

Tags

CCSS.HSA.APR.C.4