Factoring practice

1. Factoring
Polynomials

2. x
2
+ 5x – 24
( x + 8 )( x – 3)

3. x
2
– 16x + 64
( x – 8 )
2

4. x
2
– 144
( x + 12 )( x – 12 )

5. x
3
– 343
(x – 7)(x
2
+ 7x + 49)

6. 2x
3
+ 8x
2
– 3x – 12
(2x
3
+ 8x
2
) + (– 3x – 12)
2x
2
( x

+ 4

) – 3( x + 4 )
(2x
2
– 3 )( x + 4 )

7. 4x
2
+ 4x – 3
(4x
2
+ 6x

) + (– 2x – 3)
2x( 2x

+ 3

) – 1( 2x + 3 )
(2x – 1 )( 2x + 3 )

8. 16 x
2
– 81
( 4x + 9)( 4x – 9)

9. 9x
2
+ 30x + 25
(9x
2
+ 15x

) + (15x + 25)
3x( 3x

+ 5

) + 5( 3x + 5 )
(3x + 5 )( 3x + 5 )
(3x + 5 )
2

10. 8x
3
+ 27
(2x + 3)(4x
2
– 6x + 9)

11. 5x
2
– 13x + 6
(5x
2
– 10x

) + (– 3x + 6)
5x( x

– 2) – 3( x – 2)
(5x – 3)( x – 2)

12. 3x
3
– 6x
2
– 144x
3x( x
2
– 2x – 48)
3x( x

– 8)( x + 6 )

13. 2x
4
– 72x
2
2x
2
( x
2
– 36)
2x
2
( x

+ 6)( x – 6)

14. 8x
3
– 12x
2
– 80x
4x( 2x
2
– 3x – 20)
4x[(2x
2
– 8x

) + (5x – 20)]
4x[2x( x

– 4) + 5( x – 4)]
4x (2x + 5)( x

– 4)

15. x
3
+ 3x
2
– 4x – 12
(x
3
+ 3x
2
) + (– 4x – 12)
x
2
( x

+ 3

) – 4( x + 3 )
(x
2
– 4 )( x + 3 )
(x + 2)(x – 2)( x + 3)