Factoring

Factoring Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor 5n²+26n+5

(5n+1)(n+5)

400

Factor 3x²-10x+7

(3x-7)(x-1)

500

Factor 2x²-12x+10

2(x-1)(x-5)

Special Factoring cases

100

9x²-1

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

200

x²+16x+64

(x+8)²

300

x¹⁰-z⁸

(x⁵-z⁴)(x⁵+ z⁴)

400

Factor 2m³+18m²+36m

2m(m+3)(m+6)

500

Factor 3t³+5t²-12t

t(3t-4)(t+3)

Factor by grouping

100

6v³-16v²+21v-56

(2v²+7)(3v-8)

200

4v³-12v²-5v+15

(4v²-5)(v-3)

300

m³-m²+2m-2

(m²+2)(m-1)

400

21xy+15x+35ry+25r

(3x+5r)(7y+5)

500

12bc-4bd-15xc+5xd

(4b-5x)(3c-d)

Multiplying polynomials

100

2n(7n + 5)   

14n²  + 10n

200

6x(3x²-1)

18x³-6x

300

(3x + 4)(2x - 7)

6x²  - 13x -28

400

(8x - y)(3x + 2y)

24x²  + 13xy - 2y²

500

(x + 2)(3x² + 2x - 5)  

3x³ + 8x² - x - 10

Potpourri

100

 Simplify:  5⁴ * 5⁶

5¹⁰

200

Simplify:  (2x²y³)⁴

16x⁸y¹²

300

List ALL factor pairs of 8

1,8 -1,-8 2,4 -2,-4

400

Find the GCF of 24 and 60

12

500

Find the GCF of 6xy and 24y

6y