Factoring Polynomials

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
x² - 9x + 18 

• A. (x - 6)(x - 3) 
• B. (x + 6)(x - 3)
• C. (x - 9)(x - 2)
• D. (x - 6)(x + 3) 

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Factor
81m² - 1 

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor:
 2x² - 3x - 2

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
 3x² + 5x - 12

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

What is the factored form of x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor Completely: x⁴-9x²

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely: 3x²+15x-72

• x(x+5)
• 3(x+8)(x-3)
• (3x+24)(x-3)
• 3(x-8)(x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3