Factoring Polynomials and the Zero Product Property

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Solve

(x+5)(x-6)=0

• x=5 and x=6

• x=-5 and x=6

• x=5 and x=-6

• x=-5 and x=-6

Tags

CCSS.HSA-REI.B.4B

Factor
12x + 9

• 3(4x + 3)
• x(12+9)
• 3(4x - 3)
• not factorable

Tags

CCSS.7.EE.A.1

Factor

x² - 9

• (x+3)(x-3)

• (x+3)(x+3)

• (x-3)(x-3)

• not factorable

Tags

CCSS.HSA.APR.C.4

Factor

15x²+20x

• 5(3x²+4x)

• x(15x+20)

• 5x(3x+4)

• not factorable

Factor completely:

2x²+22x+60

• (2x+10)(x+6)
• (x+5)(x+6)
• 2(x+1)(x+30)
• 2(x+5)(x+6)

Solve

x(x - 4) = 0

• x=0 and x=-4

• x=1 and x=4

• x=0 and x=4

• x=4

Tags

CCSS.8.EE.C.7B

Solve

(2x - 1)(x + 3) = 0

• x=1/2 and x=-3

• x=1/2 and x=3

• x=2 and x=-3

• x=-2 and x=3

Tags

CCSS.HSA-REI.B.4B

Factor

x²-10x+24

• (x-2)(x-12)

• (x+4)(x-6)

• (x-1)(x+24)

• (x-4)(x-6)

Solve

5(x + 1) = 0

• x=5 and x=-1

• x=-5

• x=-1

• x=0

Tags

CCSS.7.EE.B.4A