Factoring Quadratics

X-Box 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

2x²+3x+1

(2x+1)(x+1)

500

3x²-x-2

(3x+2)(x-1)

X-Box 2

100

x²-9x-36

(x-12)(x+3)

200

x²-5x-50

(x-10)(x+5)

300

x²-8x+7

(x-7)(x-1)

400

4x²-11x-3

(4x+1)(x-3)

500

6x²-13x+5

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

GCF first

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)(x-5)

300

4x²-4x+1

(2x-1)(2x-1)

400

x²-81

(x-9)(x+9)

500

25x²+30x+9

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

Solving

100

x²+7x+6=0

x={-1, -6}

200

x²-10x+21=0

x={3, 7}

300

x²-25=0

x={-5, 5}

400

2x²+6x+4=0

x={-2, -1}

500

3x²+5x+2=0

x={-1, -2/3}