FACTORING the GCF from a Binomial

Factor GCF: Ensure leading coefficient is positive

100

Factor using the GCF   -4x+18

-2(2x-9)

200

Factor using the GCF   -6x + 24

-6 (x - 4)

300

Factor using the GCF    -5x+15

-5(x-3)

400

Factor using the GCF      -20y+ 10=0

-10(2y-1)=0

500

Factor using the GCF    -9x+17=8

-9 (x -1)=0

Distributive Property

100

Use the distributive property -3(2x+6)

-6x-18

200

Distribute        3(2x+7y-4)

6x+21y-12

300

Distribute      5(-2x-6)

-10x-30

400

Distribute          -5(3x-4y+6)

-15x+20y-30

500

Distribute and combine terms          -9(2x+7y) +4x

-14x-63y

factor the GCF with multiple variables

100

Factor using the GCF: x³ + 8x

x (x² + 8x)

200

Factor using the GCF: x⁵ + 4x²

x² (x³ + 4)

300

Factor using the GCF; leading coefficient should be positive: -3x⁷ + x³

-3x³ (x⁴ - 1)

400

Find the GCF: 18, 32x+6

2

500

Factor using the GCF: leading coefficient should be positive: -5x³y⁵+ 10x²y⁴

-5x²y⁴ (xy - 2)

FACTOR the GCF

100

Factor by GCF: 14n+10

2(7n+5)

200

Factor by GCF: 18x-6

6(3x-1)

300

Factor by GCF: 8-4a

4(2-a)

400

Factor by GCF: 4x+16y-8

4(x+4y-2)

500

Factor by GCF:

75-25x+5y=-25

5 (20-5x+y)

Setting Factors Equal to 0 to solve for x

100

Equations needed to solve for x: (x-3)(x+2)=0

x-3=0  or x+2=0

200

Equations needed to solve for x in   (2x-1)(x-3)=0

2x-1=0 or x-3=0

300

Equations needed to solve for x in: 3x(2x+5)=0

3x=0 or 2x+5=0

400

Equations needed to solve for x in: -4x(x-2)(2x-5)=0

-4x=0 or x-2=0 or 2x-5=0

500

Equations needed to solve for x in: -2x(x-1)(x+3)=0

-2x=0 or x-1=0 or x+3=0