Algebra 2 Factoring (a=1 or GCF)

Zero Product Property

100

Find the solutions for x: (x-2)(x+3)

x=2,-3

200

Find the solutions for x: x(x-7)

x=0,7

300

Find the solutions for x: x²=-9

NO SOLUTIONS

400

Find the solutions for x: (2x-2)(7x+4)

x=1,-4/7

500

Find the solutions for x: x(x+2)(3x-9)

x=0,-2,3

Identifying a,b,c

100

Identify what your a,b,c values are:x²-2x+8

a=1, b=-2, c=8

200

Identify what your a,b,c values are: -x²+x-5

a=-1, b=1, c=-5

300

Identify what your a,b,c values are: -5x²+x

a=-5, b=1, c=0

400

Identify what your a,b,c values are: 2x²+13

a=2, b=0, c=13

500

Identify what your a,b,c values are: -4x+7

a=0, b=-4, c=7

GCF

100

Rewrite with GCF: 3x² + 6x

3x(x + 2)

200

Rewrite with GCF: 5x³ - 125x

5x(x² - 25)

300

Rewrite with GCF: 4x³+ 6x + 2x²

2x(2x² + 3 + x)

400

Rewrite with GCF: 6x²y + 9xy²

3xy(2x + 3y)

500

Rewrite with GCF: 7x²+14x+49

7(x²+2x+49)

a=1

100

Factor: x² − 4x − 5

(x − 5)(x + 1)

200

Factor: x² + 2x − 15

(x − 3)(x + 5)

300

Factor: x² + 4x + 4

(x + 2)(x + 2) or (x + 2)²

400

Factor: 3x²+6x-72

3(x+4)(x-2)

500

Factor: 2x² + 10x − 48

2(x − 3)(x + 8 )

a is NOT 1

100

Factor: 3n²-8n+4

(x-2)(3x-2)

200

Factor: 2p²+11p+5

(2p+1)(p+5)

300

Factor: 7a²+53a+28

(x+7)(7x+4)

400

Factor: 9k²+66k+21

3(3x+7)(9x+1)

500

Factor: 6x²+7x-49

(3x-7)(2x+7)