Factoring and Solving Quadratics

GCF Factoring

100

3x³+7x

x(3x²+7)

200

28-21x

7(4-3x)

300

35x+15

5(7x+3)

400

14x+63

7(2x+9)

500

70x⁵+100x

10x(7x⁴+10)

Trinomial Factoring (a=1)

100

x²-3x-4

(x-4)(x+1)

200

x²+10x+21

(x+3)(x+7)

300

x²-2x-63

(x+7)(x-9)

400

x²+13x+30

(x+3)(x+10)

500

x²+4x-45

(x+9)(x-5)

Trinomial Factoring (a>1)

100

5x²+37+14

(5x+2)(x+7)

200

3x²+14x+8

(3x+2)(x+4)

300

3x²+13x+14

(3x+7)(x+2)

400

2x²+15x+25

(2x+5)(x+5)

500

3x²+10x+7

(3x+7)(x+1)

Completing the Square

100

x²-9=-8x

x=1

x=-9

200

x²+14x+48=0

x=-8

x=-6

300

x²+40=-14x

x=-10

x=-4

400

x²+4x+3=0

x=-1

x=-3

500

x²-5=4x

x=-1

x=5

Quadratic Formula

100

16x²-24x+5=0

x=5/4

x=1/4

200

25x²-40x+16

x=4/5

300

16x²-24x+4=-1

x=5/4

x=1/4

400

4x²-5x-5=3x

x=5/2

x=-1/2

500

2x²+11x+12=0

x=-3/2

x=-4