Factoring Quadratics

Factor GCF

100

10x+5y

5(2x+y)

200

7a²  + 3a

a(7a+3)

300

24b² + 16b

8b(3b+2)

400

36x²y² + 48x³y

12x²y(3y+4x)

500

70x³y² - 35xy² + 5xy

5xy(14x²y-7y+1)

Factor Trinomials

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)

Difference of Sq.

100

x²-36

(x+6)(x-6)

200

25x²-9

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

300

100x²-81y²

(10x+9y)(10x-9y)

400

64x²-1

(8x+1)(8x-1)

500

4x²+49

prime (Cannot Factor)

Factor to Solve (mix)

100

(2x+5)(x-6)=0

x= -5/2 and x=6

or

x= -2.5 and x=6

200

x²-121=0

x= 11 and x = -11

300

12x²+18x=0

x= 0 and x= -3/2

or 

x=0 and x= -1.5

400

3x²+13x-10=0

x= -5  and   x= 2/3

500

x²-45=4x

x= 9   and x= -5

Multiply Binomials

100

(x+2)(x+5)

x²+7x+10

200

(x-9)(x+1)

x²-8x-9

300

(3x+5)(x-4)

3x²-7x-20

400

(4x+3)²

16x²+24x+9

500

(x+4)(x²-6x+10)

x³-2x²-14x+40