Factoring Quadratic Equations

GCF

100

10x+15

5(2x+3)

200

6x-18

6(x-3)

300

20x²+2x

2x(10x+1)

400

5x²y+5xy

5xy(x+1)

500

3x² -9x 

3x(x-3)

Difference of 2 Squares

100

 x² - 4 

(x+2)(x-2)

200

2x² - 18

2(x+3)(x-3)

300

5x²-80

5(x+4)(x-4)

400

4x²-36

(2x+6)(2x-6)

500

9x²-81

(3x+9)(3x-9)

Perfect Square Trinomial

100

 x² + 6x+9

(x+3)²  or (x+3)(x+3)

200

 x² - 4x +4

(x+2)(x+2)

300

x²+12x+36

(x+6)(x+6)

400

x²-14x+49

(x-7)(x-7)

500

x² - 8x + 16

(x-4)(x-4)

Not-Perfect Square Trinomials

100

x²+5x+6

(x+3)(x+2)

200

 x² + 7x + 10 

(x+5)(x+2)

300

 x² -x-12

(x-4)(x+3)

400

 2x² + 7x + 3 

(2x+1)(x+3)

500

3x² - 11x-4 

(3x+1)(x-4)

Solve for x

100

x²+10x+25

(x+5)² x=-5

200

x²-49

x=7, x=-7

300

x²+7x+10

x=-5, x=-2

400

2x²+7x+3

x=-1/2. x=-3

500

3x²-12x

x=0, x=4