(Getting Started With) Factoring Quadratics

Simple Trinomials

100

x^2+5x+6

(x+2)(x+3)

200

x^2-7x+12

(x-3)(x-4)

300

x^2+10x-24

(x+12)(x-2)

400

x^2-9x+20

(x-5)(x-4)

500

x^2-x-12

(x+3)(x-4)

Simple Binomials

100

x^2-25

(x-5)(x+5)

200

x^2-121

(x-11)(x+11)

300

81-x^2

(9-x)(9+x)

400

2-x^2

(sqrt2-x)(sqrt2+x)

500

x^2+16

Unfactorable (prime)

Looking for GCF

100

3x-12

3(x-4)

200

x^2+8x

x(x+8)

300

18x^2+27x

9x(2x+3)

400

10x^2-20x

10x(x-2)

500

5x^2+5x+10

5(x^2+x+2)

Trinomials Plus

100

x^2+18x+81

(x+9)(x+9) = (x+9)^2

200

2x^2+20x+50

2(x+5)(x+5) = 2(x+5)^2

300

3x^2-27x-108

3(x-12)(x+3)

400

x^2+18x+80

(x+8)(x+10)

500

x^2-30x+225

(x-15)(x-15) = (x-15)^2

Ready for a Challenge

100

2x^2+7x+3

(2x+1)(x+3)

200

3x^2-8x+4

(3x-2)(x-2)

300

2x^2-x-6

(2x-3)(x-2)

400

9x^2-144

9(x-4)(x+4)

500

9x^2-30x+25

(3x-5)(3x-5) = (3x-5)^2