Polynomials

The Distributive Property

100

Expand

5 ( x + 3 )

5x + 15

200

Expand

x ( x² - 7 )

x³ - 7x

300

Expand

( x + 1 )( x + 8 )

x² + 9x + 8

400

Expand

( x + 4 )( x - 9 )

x² - 5x - 36

500

Expand

( x - 4 )²

x² - 8x + 16

Factoring a Common Term

100

Factor

3x² + 9

3 ( x² + 3)

200

Factor

2x² - 20x + 10

2 ( x² - 10x + 5)

300

Factor 

5x³ + 15x

5x ( x² + 3)

400

Factor 

3x⁴ + 12x³

3x³ ( x + 4)

500

Factor 

16x³ - 4x² + 4x

4x ( 4x² - x + 1 )

Factoring when a=1

100

Factor

x2 + 12x + 20

( x + 10 )( x+ 2 )

200

Factor

x² - 5x - 14

( x - 7 )( x + 2 )

300

Factor

x² - 11x - 26

( x - 13 )( x + 2 )

400

Factor

x² - 11x + 30

( x - 6 )( x - 5 )

500

Factor

x² - 6x + 9

( x - 3 )²

Factoring when a!=1

100

Factor 

2x² + 5x + 2

( 2x + 1 )( x + 2 )

200

Factor

2x² + 11x + 5

 ( 2x + 1 )( x + 5 )

300

Factor

2x² + 11x + 15

( 2x + 5 )( x + 3 )

400

Factor

4x²+ 13x + 3

( x + 3 )( 4x + 1 )

500

Factor

3x² - 7x + 2

( x - 2 )( 3x - 1)

Factoring Completely

500

Factor

8x² - 56x + 48

8 ( x - 1 )( x - 6 )