2.8 Factoring by grouping

Factor p³ - 3p² - 16p + 48 

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.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.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.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.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

x³-5x²+5x-25

• (x²-5)(x-5)
• (x²+5)(x-5)
• (x²+5)(x+5)
• (x²-1)(x-25)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Factor by grouping:
5n³-10n²+3n-6

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Factor by grouping:
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

CCSS.HSA.APR.A.1

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.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Factor by grouping
x³ - 4x² -4x + 16

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.2

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor
• No, it is not a factor

Tags

CCSS.HSA.APR.B.2