GCF Factoring and Solving Polynomial Equations

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Solve for X:

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

• {5,5 }

• { -5,-5 }

• { -5,-6 }

• {5,-6 }

Tags

CCSS.HSA-REI.B.4B

Which of the following is a factor of x²-10x+24?

• x-4

• x+4

• x+6

• x-2

Tags

CCSS.HSA.APR.B.2

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

What is the GCF of 18k and 15k³

• 3k²

• 3k³

• 3k

• 5k

Factor the polynomial.

x²-4x-32

• (x-8)(x+4)

• (x-4)(x-32)

• (x+3)(x-4)

• (x+2)(x+5)

Factor completely
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor
n²-13n+40

• (n-5)(n-8)

• (n+5)(n-8)

• (n-5)(n+8)

• (n+6)(n+1)

Factor 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)