Factoring

Mixed Factoring

100

-49-7x^3

-7(7+x^3)

200

x^2+16x+63

(x+7)(x+9)

300

5x^2+12x+4

(5x+2)(x+2)

400

3x^2+8x-3

(3x-1)(x+3)

500

32x^3+48x^2-18x-27

(4x+3)(4 x-3)(2x+3)

Difference of Squares

100

(a^2-b^2)

(a+b)(a-b)

200

1-x^4y^6

(1+x^2y^3)(1-x^2y^3)

300

64-x^4

(8+x^2)(8-x^2)

400

121-49x^4

(11+7x^2)(11-7x^2)

500

y^4-x^4

(y^2+x^2)(y-x)(y+x)

Simple Trinomials

100

x^2+10+16

(x+2)(x+8)

200

x^2-x-72

(x+8)(x-9)

300

x^2+2x-8

(x-2)(x+4)

400

x^2-13x+30

(x-3)(x-10)

500

2x^3+22x^2+48x

2x(x+3)(x+8)

Slip 'n ' Slide Trinomials

100

3x^2+17x+10

(3x+2)(x+5)

200

3x^2+22x+7

(3x+1)(x+7)

300

2x^2-5x-3

(2x+1)(x-3)

400

6x^2+17x+5

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

500

18x^3-51x^2+21x

3x(3x-7)(2x-1)

Grouping

100

x^3+2x^2-3x-6

(x^2-3)(x+2)

200

4x^3+5x^2-44x-55

(x^2-11)(4x+5)

300

2x^3-7x^2+50x-175

(x^2+25)(2x-7)

400

x^3+7x^2-x-7

(x+1)(x-1)(x+7)

500

9x^3+45x^2-25x-125

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