Factor by Grouping and Binomial Factoring

What are the solutions to the factored polynomial?

• 2

• 3

• -2

• -3

• 0

Tags

CCSS.HSF-IF.C.7C

The polynomial 10x³+35x² - 4x -14 is partially factored by grouping.
5x² (_____) - 2(_____)
What is the common factor that is missing from both sets of parenthesis?

• -2x - 7

• 2x + 7

• -2x² +7

• 2x² + 7

Complete the factoring:

x² - 12x + 32 is factored into (x-8)(___)

• x - 4

• x + 4

• x² + 8

• 8 - x

Factor Completely:

18x² - 78x - 60

• 6(3x - 2)(x + 5)

• (18x +12)(x - 5)

• Prime

• 6(3x + 2)(x - 5)

What are the zeros to the factored polynomial: m(3m - 4)(2m + 1) = 0 (Choose THREE options)

• 0

• 4/3

• 1/2

• -4/3

• -1/2

Tags

CCSS.HSF-IF.C.7C

What are the factors of 2m² + 13m - 24? (Choose TWO options)

• (m - 6)

• (2m + 4)

• (2m - 3)

• (2m + 3)

• (m + 8)

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

Tags

CCSS.HSA-REI.B.4B

Factor by grouping:
30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

Solve by Factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Tags

CCSS.HSA-REI.B.4B

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)