Factoring and Solving Quadratic Expressions and Equations

Factoring/Solving Quadratics I

100

Solve x²+8x+12 = 0

x=-6, -2

200

Factorize m²-11m+18.

(m-9)(m-2)

300

Solve x²+5x-24 = 0

x=-8, 3

400

Factorize y²-8y-20

(y-10)(y+2)

500

Solve x²-13x-30 = 0

x=-2 and x=15

Factoring/Solving Quadratics II

100

Factorize 2x²+7x+3.

(2x+1)(x+3)

200

Solve 5n²+5 = -26n

n = -5 and n = -1/5

300

Factorize 3x²-10x+7.

(3x-7)(x-1)

400

Solve 7x²-36x = -5

x= 1/7 and x = 5

500

Factorize 2x²-12x+10 completely.

2(x-1)(x-5)

Factoring/Solving Quadratics III

100

Solve m²-100 = 0

m = 10 and m = -10

200

Solve a²-250 = -6

a= 16 and a = -16

300

Factor 4x²-9

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

400

Factor -9+16x²

(4x-3)(4x+2)

500

Factor 3b²-27 completely.

3(b-3)(b+3)

Factoring/Solving by GCF

100

Factorize 12h+8.

4(3h+2)

200

Solve 5a²-7a=0

a=0 and a=7/5

300

Solve 10c²-25c=0

c=0 and c=5/2

5c(2c-5)

400

Factor 18b²d+36bd².

18bd(b+2d)

500

Factor 12a-24a²+36a³

12a(1-2a+3a²)

Solving quadratics

100

Solve x²+2x+1=0.

x=-1

200

Solve b²-25=0.

b=5 or b=-5

300

Solve x²+2x-15=0.

x=3 or x=-5

400

Solve 2x²+7x-15=0.

y=-5 or y=3/2

500

Solve (2x-1)(x-4)=9.

x=5 or x=-1/2