Factoring part 1

Common Factoring

100

Common Factor: 12x²-9x

3x(4x-3)

200

Common Factor: 3a²b+6ab

3ab(a+2)

300

Common Factor: 15x³y²-10x²y+5xy

5xy(3x²y-2x+1)

400

Common Factor: 2x(x+3)+(x+3)

(x+3)(2x+1)

500

Common factor: 20(x+1)-15x²(x+1)+10y(x+1)

5(x+1)(4-3x²+2y)

Type 1 Factoring (MAN method)

100

Factor x²+5x+6

(x+2)(x+3)

200

Factor x²-9x+20

(x-5)(x-4)

300

Factor 2x²-2x-24

2(x-4)(x+3)

400

Factor x²+2xy-15y²

(x+5y)(x-3y)

500

Factor 2x²-8xy+6y²

2(x-3y)(x-y)

Factoring by grouping

100

Factor by grouping: x²+5x+2x+10

(x+5)(x+2)

200

Factor by grouping: ab+3b+2a+6

(a+3)(b+2)

300

Factor by grouping: x³+2x²+x+2

(x+2)(x²+1)

400

Factor by grouping: 2x²+6x+3x+9

(x+3)(2x+3)

500

Factor by grouping 6x²-3x+4x-2

(2x-1)(3x+2)

Expanding

100

Expand and simplify: 3(x+2)-(x-5)

2x+11

200

Expand and simplify: (x+4)²

x²+8x+16

300

Expand and simplify: 2(x+1)(x-2)

2x²-2x-4

400

Expand and simplify: 4x(x-1)-3(x-4)(x+5)

x²-7x+60

500

Expand and simplify: 3xy(x+1)-2(x-3)²

3x²+3xy-2x²+12x-18

General Trivia

100

What's the point of factoring?

It is to find the solutions/x-intercepts of an equation

200

What method(s) would you use to factor this: 5x+10

Common Factoring

300

Name 3 other names for x-intercepts 

Roots, zeros, solutions

400

What method(s) would you use to factor this: 3x²+6x+2x+4

Factoring by Grouping

500

What method(s) would you use to factor this: 3x²+6x+12

First Common Factor then use MAN method