6.5 -6.7 WS Name: Factoring/Synthetic Worksheet Hour: ______

6.5 -6.7 WS
Factoring/Synthetic Worksheet
Name: ________________________________
Hour: _____________
Use your graphing calculator to factor each of the following expressions.
1)
2)
Zeros:
Zeros:
( )
( )
(Completely Factored Form)
(Completely Factored Form)
3)
4)
Zeros:
Zeros:
( )
( )
(Completely Factored Form)
(Completely Factored Form)
5)
6)
Zeros:
Zeros:
( )
( )
(Completely Factored Form)
(Completely Factored Form)
Determine algebraically if the first polynomial is a factor of the second polynomial.
If yes factor completely.
7) x + 5
x3 + 3x2 – 9x + 5
8) x – 7
x3 – 9x2 + 11x + 21
9) x – 3
x3 – 5x2 + 7x + 4
10) x + 1
x3 + 7x2 + 14x + 8
11) x – 2
x3 + 3x2 – 6x – 8
12) x + 3
x3 + 11x2 + 40x + 48
13) x – 4
x3 – 9x2 + 6x + 56
14) x + 5
x3 + 2x2 – 13x + 6