Factoring practice

Basic trinomials

100

x² + 7x + 12

(x+3) ( x+4)

200

x²  - 6x + 5

(x-5) (x-1)

300

x² + x -30

(x-5) (x+6)

400

x² + 5x - 24

( x-3) (x+8)

difference of perfect squares

100

x² - 9

( x-3) (x+3)

200

x² - 25

(x - 5) ( x+ 5)

300

x² - 64

(x-8) (x+8)

400

4x² - 49

(2x - 7 ) (2x + 7 ) 

Higher degree trinomial

100

x³ + 5x² + 6x

 x (x+2) (x+3)

200

4x³ + - 8x² + 4x

4x ( x+1) (x+1 )

300

x⁴ + 2x² - 8

( x² + 4) ( x² - 2)

400

2x⁴ -14x² -36

2 (x-3) (x+3) ( x² +2)

Factor by grouping

100

x³ + 3x² +2x +6

(x² +2) (x+3)

200

x³ + 3x² -8x -24

(x² - 8) ( x+3)

300

4x³ - 8x² +8x -16

4 ( x² + 2) ( x-2)

400

x⁴ + 5x³ -3x² - 15x

x² (x-3) (x+5) 

Factors or Terms?

100

x²  + x + 3x 

terms

200

x ( x-1) 

Factors

300

(a) (b) 

Factors

400

a + b 

terms