Monomials and Factoring

Factor th polynomial by grouping:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor the polynomial by grouping:

x³ + 7x² - 2x - 14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

6k² * k

• 6

• 6k

• 6k²

• 6k³

Simplify:
x²(2x+3)

• x²+2x+3

• 2x+3

• 2x²+3x

• 2x³+3x²

Factor out the GCF:
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Factor: 63 + 45p

• 9(7 + 5p)

• 5(9 + 7p)

• 9p(7 + 5p)

• 7(9 + 5p)

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Simplify the expression: 2x + 1 + 7x 

• 10x

• 10

• 9x + 1

• 9 + 1x

Simplify the expression: 3x + 2x

• 5x

• x

• 6x

• 5

Which expression below correctly models the distributive property of -4(-4d + 5)?

• -16d + 20

• 16d - 20

• 16 + 20

• 16d + 20