2-2 Factoring

GCF

100

What does GCF stand for? 

Greatest Common Factor

200

Factor 

x²+12x

x(x+12)

300

Factor

18x²-9x

9x(x-1)

400

Factor 

25xyz-45yz+125xz

5z(5xy-9y+25x)

500

Factor

20x³z⁴-15x²z³+5x²z²

5x²x²(4xz²-3z+1)

Difference of Squares

100

Factor

x²-1

(x+1)(x-1)

200

Factor 

x²-25

(x+5)(x-5)

300

Factor

2x²-18

2(x+3)(x-3)

400

Factor 

2x²-32

2(x+4)(x-4)

500

Factor

12x²-27

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

Quadratic Trinomials

100

Factor 

x²+6x-16

(x+8)(x-2)

200

Factor

x²-8x+7

(x-1)(x-7)

300

Factor 

x²+6x+9

(x+3)(x+3)

400

Factor

5x²+10x-40

5(x-2)(x+4)

500

Factor 

2x²+9x-18

(2x-3)(x+6)

Solving Polynomials

100

Solve 

x²+15x=0

x=0 and x=-15

200

Solve

x²-4x-5=0

x=5 and x=-1

300

Solve 

x²=100

x=-10 and x=10

400

36x²-3=33

x=1 and x=-1

500

Solve

x²+10x+24=8

x=-2 and x=-8

Miscellaneous

100

Is it a quadratic, linear or other

x²+6x=40

Quadratic

200

Is the equation x²-8x+5=2 written in Standard form?

No, Quadratics in Standard form have to equal to zero. 

300

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

2x²+2x-12

400

List the three names for a solution of a Quadratic. 

Zeros, Roots, and x-Intercepts

500

If you have a polynomial with 2 terms, What are the four possible ways to factor? 

- GCF

- Difference of Squares

- Difference of Cubes

- Sum of Cubes