Factoring!!

Dividing Polynomials

100

(6x³+12x²) / 3x

2x²+4x

200

(x²+5x+6) / (x+2)

(x+3)

300

(2x³+7x²+3x−12) / (x+3)

2x²+x−4

400

(3x⁴−2x³−11x²+6x+8) / (x−2)

3x³+4x²−3x

500

(2x⁴+5x³−3x²−11x+6) / (x²+2x−3) 

2x²+x−2 remainder 3x

Binomials

100

6x²+12x

6x(x+2)

200

15x³−10x³

5x²(3x-2)

300

18x⁴+24x²

6x²(3x²+4)

400

28x⁵−42x³

14x³(2x²−3)

500

45x⁶y³−60x⁴y⁵

15x⁴y³(3x²−4y²)

Trinomials

100

x²-x-6

(x-3)(x+2)

200

x²+8x+15

(x+3)(x+5)

300

6x²-13x+6

(3x-2)(2x-3)

400

12x²+44x-45

(6x-5)(2x+9)

500

60x²-230x+200

10(2x-5)(3x-4)

Polynomials

100

x³+3x²+2x+6

(x+3)(x²+2)

200

2x³+6x²+5x+15

(x+3)(2x²+5)

300

3x³−9x²+2x−6

(x−3)(3x²+2)

400

4x³−12x²−7x+21

(x−3)(4x²−7)

500

6x³−15x²−4x+10

(2x−5)(3x²−2)

Special Cases

100

x²-25

(x-5)(x+5)

200

16x²-81x⁴

(4x-9x²)(4x+9x²)

300

3x⁴-27x²

3x²(x-3)(x+3)

400

4x²-20x+25

(2x-5)²

500

27p³-1000

(3p-10)(9p²+30p+100)