Unit 8A Review - Quadratic Equations

Zero Product Property

100

(x+8)(x-5)=0

x=-8, x=5

200

(2x+1)(x-6)=0

x=-1/2, x=6

300

(4x-1)(3x+2)=0

x=1/4, x=-2/3

400

(x+5)(x+5)(2x-7)=0

x=-5, x=7/2

500

(6x+5)(13x-10)=0

x=-5/6, x=10/13

Solve by Square Roots

100

4+3x²=7

x=1, x=-1

200

2-x²=-7

x=3, x=-3

300

-5(x+5)²-38=-18

NO SOLUTIONS!

400

2(x+3)²=2

x=-2, x=-4

500

4(x+2)²+4=40

x=1, x=-5

Factoring a = 1 and GCF

100

x²-6x-16

(x+2)(x-8)

200

x²+7x+12

(x+3)(x+4)

300

2x²+18x-20

2(x-1)(x+10

400

x³-9x

x(x+3)(x-3)

500

4x³+52x²+144x

4x(x+9)(x+4)

Factoring a >1

100

3x²+10x+3

(3x+1)(x+3)

200

25x²-64

(5x+8)(5x-8)

300

3x²-20x+25

(3x-5)(x-5)

400

2x²+19x+9

(2x+1)(x+9)

500

6x²+13x-15

(6x-5)(x+3)

Solve by Factoring

100

7x²=14x

x=0, x=2

200

16x²-25=0

x=-5/4, x=5/4

300

3x²-7x-6=0

x=-2/3, x=3

400

6x²+17x+4=7

x=1/6, x=-3

500

5x²+18x-2=6

x==2/5, x=-4