Factoring Polynomials

Quadratic-like

100

2x²-16x+30

2(x-3)(x-5)

200

3x²-15x-108

3(x+4)(x-9)

300

x²+4-104

(x-10)(x+10)

400

-x²+13x+30

-(x-15)(x+2)

500

-2x²-4x+30

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

Four-term Grouping

100

6n³+3n²+8n+4

(3n²+4)(2n+1)

200

x³-4x²-7x+10

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

300

x³-2x²+5x-10

(x-2)(x²+5)

400

2x³+4x+3x+6

(x+2)(2x²+3)

500

3x³+12x²+x+4

(x+4)(3x²+1)

Difference/Sum of Cubes

100

64x³+125

(4x+5)(16x²-20x+25)

200

x³+27

(x+3)(x²-3x+9)

300

8x³-27

(2x-3)(4x²+6x+9)

400

27x³+8

(3x+2)(9x²-6x+4)

500

6x³-48

6(x-2)(x²+2x+4)