7.8 Factoring Polynomials Completely

What is the factored form of 5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.SSE.A.2

CCSS.HSA.SSE.B.3

What is the factored form of 4p³+8p²+3p+6

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor p³ - 3p² - 16p + 48 

• p² ( p - 3) (p - 3) 
• (p² - 16) (p - 3)  
• (p + 4) (p - 4) (p - 3) 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 
• (x² - 49) (x + 2) (x + 2) 
• (x + 7) (x - 7) (x + 2) 

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

20x³-25x²+4x-5

• (5x²-5)(4x+1)
• 5(x²-1)(4x+5)
• (5x²+1)(4x-5)
• (5x²+1)(4x-1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

30x³+15x²-18x-9 hint: GCF then Factor by Grouping

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve

x³ - 2x² - 4x + 8 = 0

• x = 2, -2

• x = 4, -4

• x = 2

• Not Factorable

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Factor
12p³+28p²-42p-98

• 2(2p²+7)(3p+7)
• 2(2p²+7)(3p-7)
• 2(2p²-7)(3p+7)
• 2(2p²-7)(3p-7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor completely: $4x^3+4x^2−9x−9$  

•  $\left(2x-3\right)\left(2x+3\right)\left(x+1\right)$  

•  $\left(4x^2-9\right)\left(x+1\right)$  

•  $\left(4x^2+9\right)\left(x+1\right)$  

•  $\left(2x^2+9x\right)\left(2x+1\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2