Factoring Review - H

GCF

100

9x + 36

9(x + 4)

200

8x^2 + 72x

8x(x + 9)

300

4x^2 + 32xy

4x(x + 8y)

400

8r^5 − 20r^4 − 12r^2

4r^2 (2r ^3 − 5r^2 − 3)

500

5h^3 k − 20h^2 k^2 + 100hk

5hk(h^2 − 4hk + 20)

Grouping

100

9x^3-3x^2+6x-2

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

200

4n^3 + 6n^2 - 6n - 9

(2n^2 - 3)(2n + 3)

300

2 p^3 + 2p^2 - 3p - 3

(2p^2 - 3)( p + 1)

400

4n^3 - 2n^2 + 2n - 1

(2n^2 + 1)(2n - 1)

500

3x^3 - x^2 - 6x + 2

(x^2 - 2)(3x - 1)

Factoring Trinomials

100

x^2 - 3x - 4

(x - 4)(x + 1)

200

x^2 - 4x - 5

(x + 1)(x - 5)

300

2x^2 - 5x - 25

(2x + 5)(x - 5)

400

3x^2 + 8x + 5

(3x + 5)(x + 1)

500

3x^2 + 8x - 10

(-4+sqrt(46))/3, (-4-sqrt(46))/3

Difference of two squares

100

121n^2 - 25

(11n + 5)(11n - 5)

200

9n^2 - 1

(3n + 1)(3n - 1)

300

169n^2 - 81

(13n + 9)(13n - 9)

400

81k^2 - 169

(9k + 13)(9k - 13)

500

81r^2 - 25

(9r + 5)(9r - 5)

Sum/Difference of cubes

100

x^3 + 125

(x + 5)(x^2 − 5x + 25)

200

x^3 − 64

(x − 4)(x^2 + 4x + 16)

300

x^3 − 27

(x − 3)(x^2 + 3x + 9)

400

u^3 + 8

(u + 2)(u^2 − 2u + 4)

500

8x^3+125

( 2 x + 5 ) ( 4 x^2 − 10 x + 25 )