Unit 2 Factoring

GCF

100

2x+4y

2(x+2y)

200

4m+12mn

4m(1+3n)

300

5x²y-10xy

5xy(x-2)

400

1500x³y⁴-1250xy

250xy(6x²y³-5)

500

15a⁴b⁵c²d³-3a²b⁶c²

3a²b⁵c²(5a²d³-1b)

Factor by grouping

100

3x²+9x+4x+12

(x+3)(3x+4)

200

10x²+5x+4x+2

(5x+2)(2x+1)

300

5x³-5x²+10x-10

5(x²+2)(x-1)

400

4x³+12x²+3x+9

(4x²+3)(x+3)

500

4x³-8x²+20x-40

4(x²+5)(x-2)

Simple/Complex ABC

100

x²-x-30

(x-6)(x+5)

200

x²+7x+10

(x+5)(x+2)

300

7x²-5x-2

(7x+2)(x-1)

400

5x²-14x+9

(5x-9)(x-1)

500

25x²+20x+4

(5x+2)²

Difference/Sum of Cubes or Difference of squares

100

x²-81

(x+9)(x-9)

200

9x²-64

(3x+8)(3x-8)

300

2x²-72

2(x+6)(x-6)

400

8x³-64

(2x-4)(4x²+8x+16)

500

27x³+125

(3x+5)(9x²-15x+25)

Mixed Factoring

100

12x²-36x⁴

12x²(1-3x²)

200

2x²-24x+40

2(x-10)(x-2)

300

12x³-14x²-6x+7

(2x²-1)(6x-7)

400

-108x⁴+500x

-4x(3x+5)(9x²-15x+25)

500

16x⁴-81

(4x²+9)(2x+3)(2x-3)