Factoring Quadratics

Prime Factorization

100

5x²y³

5 x x y y y

200

6a²b

2*3 a a b

300

24ab²

2*2*2*3 a b b

400

36x²y²

2*2*3*3 x x y y

500

70x³y²

2*5*7 x x x y y

a = 1

100

x²+5x+6

(x+3)(x+2)

200

x²+3x-18

(x+6)(x-3)

300

x²-12x+27

(x-3)(x-9)

400

x²-9x-36

(x-12)(x+3)

500

x²-5x-50

(x-10)(x+5)

a ≠ 1

100

2x²+3x+1

(2x+1)(x+1)

200

3x²-x-2

(3x+2)(x-1)

300

5x²-8x-4

(5x+2)(x-2)

400

4x²-11x-3

(4x+1)(x-3)

500

6x²-13x+5

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

With GCF

100

2x²+12x+16

2(x+4)(x+2)

200

3x²+3x-90

3(x+6)(x-5)

300

10x²-4x-6

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

400

8x²-24x+18

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

500

45x²-20

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

Special Cases

100

x²-9

(x+3)(x-3)

200

x²-10x+25

(x-5)²

300

4x²-4x+1

(2x-1)²

400

x²-81

(x-9)(x+9)

500

25x²+30x+9

(5x+3)²