Synthetic Division

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Show your work for each problem.

1.
When dividing by , what value of do you use in synthetic division?
1. a)
2. b)
3. c)
4. d)
2.
When dividing by , what value of do you use?
1. a)
2. b)
3. c)
4. d)
3.
What coefficients would you write for in synthetic division? (Write as: a, b, c, d)
4.
If the original polynomial is degree 4, what degree is the quotient after dividing by ?
1. a)Degree 5
2. b)Degree 4
3. c)Degree 3
4. d)Degree 2
5.
Use synthetic division: . What is the quotient?
6.
Divide by using synthetic division.
7.
Find the remainder when is divided by .
8.
Is a factor of ?
1. a)Yes, remainder is 0
2. b)No, remainder is -6
3. c)No, remainder is 1
4. d)No, remainder is 6
9.
Divide by using synthetic division.
10.
Divide by . What is the remainder?
11.
For which divisor can you NOT use synthetic division directly?
1. a)
2. b)
3. c)
4. d)
12.
Use synthetic division to evaluate where .
13.
Find the quotient:
14.
Find all values of such that is a factor of .
15.
If the synthetic division of by gives remainder , and division by gives remainder , what can you conclude?
1. a) has no roots
2. b) equals
3. c)
4. d) is a factor of
16.
Factor completely by first using synthetic division to find one root.
17.
If has remainder and quotient , find .
18.
Use synthetic division twice to divide by and then by .