Factoring and Solving Quadratics

Factor GCF

100

10x+5y

5(2x+y)

200

6a²  + 3a

3a(2a+1)

300

24ab² + 16b²

8b²(3a+2)

400

36x²y² + 48x³y

12x²y(3y+4x)

500

70x³y² - 35xy² + 5xy

5xy(14x²y-7y+1)

X-Box 1

100

x²+5x+6

(x+3)(x+2)

200

x²+3x-18

(x+6)(x-3)

300

x²-12x+27

(x-3)(x-9)

400

2x²+3x+1

(2x+1)(x+1)

500

3x²-x-2

(3x+2)(x-1)

Solving Quadractics by factoring

100

(x-12)(x-3) = 0

x =12,  x=3

200

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

x = 3,   x = -1

300

x²-8x+7=0

x=7, x=1

400

4x²-11x-3=0

x= -1/4, x=3

500

6x²-13x+5=0

x=5/3,  x=-1/2

GCF first

100

2x²+12x+16

2(x+4)(x+2)

200

3x²+3x-90

3(x+6)(x-5)

300

10x²-4x-6

2(5x+3)(x-1)

400

8x²-24x+18

2(2x-3)(2x-3)

or

2(2x-3)^2

500

45x²-20

5(3x-2)(3x+2)

Special Cases

100

x²-9

(x+3)(x-3)

200

x²-10x=0

x=0, x=10

300

4x²-4x+1

(2x-1)²

400

x²-81=0

(x-9)(x+9)

x=9, x=-9

500

25x²+30x+9

(5x+3)²