SYNTHETIC DIVISION WORKSHEET
Don’t forget ZERO Coefficients for missing degrees
Solve the binomial divisor equal to zero.
Multiply and Add Patterns
If zero value is a fraction, then divide all coefficients by denominator.
1) Perform the following divisions using Synthetic Division.
Is the binomial divisor a factor of the polynomial?
A. ( p4 5 p3 11 p2 25 p 29) ( p 6)
D. (3 x3 4 x2
B. ( y4
8 y3
10 y2
C. (8v5
32v4
5v
2y
20)
4)
(v
(y
4)
2)
17x
6)
(3 x
1)
E. (4v3 6v2 8v 12) (2v 3)
F. (6z3
5z2
3z
2)
(2 x
1)
2) Completely FACTOR each polynomial given a known factor.
What are all of the zeros of the polynomial?
A. x 3
9x 2
B. x 3
x2
23x
14x
15; x
25; x
5
3
C. 25x 3
D. 6x 3
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150x 2
7x2
131x
1; 2x
1
30; 5x
3