Factoring Review

Trinomials = 1

100

x²+7x+12

(x+4)(x+3)

200

x²+15x+56

(x+7)(x+8)

300

x²+2x-35

(x+7)(x-5)

400

x²-5x-24

(x-8)(x+5)

500

x²-3x-40

(x-8)(x+5)

Trinomials > 1

100

2x²+7x+3

(2x+1)(x+3)

200

5x²+13x+6

(5x+3)(x+2)

300

4x²-11x+6

(4x+3)(x-2)

400

6x²+11x+3

(3x+1)(2x+3)

500

18x²-21x+5

(6x+5)(3x-1)

Square Roots

100

x²-9

(x+3)(x-3)

200

4x²-25

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

300

49x²-100

(7x+10)(7x-10)

400

169x²-196

(13x+14)(13x-14)

500

x²+9

Prime; Cannot be factored because there is an addition sign. 

Grouping

100

3x³+9x²+2x+6

(3x²+2)(x+3)

200

x²+7x+3x+21

(x+3)(x+7)

300

6x³+18x²+5x+15

(6x²+5)(x+3)

400

10x³-25x²+6x-15

(5x²+3)(2x-5)

500

6x³-24x²+5x+20

(6x²+5)(x-4)

Solving

100

(x+4)(x-5)=0

x=-4,5

200

2x(x-10)=0

x=0,10

300

x(2x-1)(2x+1)=0

x=0, 1/2, -1/2

400

x²-x-12=0

x=-3,4

500

3x²+1=4x

(x+1)(3x+1)