Name: _________________________________________ Date: ____________ Period: ______
A6-Synthetic Division
Divide using synthetic division. BOX YOUR ANSWER!
1. (𝑥 3 − 4𝑥 2 + 7𝑥 − 1) ÷ (𝑥 − 2)
2. (𝑥 4 + 3𝑥 3 − 5𝑥 2 + 9) ÷ (𝑥 + 3)
3. (2𝑥 3 + 3𝑥 2 + 4) ÷ (𝑥 + 1)
4. (5𝑥 3 + 7𝑥 2 + 6𝑥 + 2) ÷ (𝑥 + 2)
Use synthetic division to determine whether the first polynomial is a factor of the second.
5. (𝑥 − 1), (2𝑥 4 − 𝑥 3 − 𝑥 2 + 4𝑥 − 4)
6. (𝑥 + 11), (𝑥 4 + 10𝑥 3 − 10𝑥 2 + 99)
7. (𝑥 − 5), (𝑥 5 − 3𝑥 4 − 13𝑥 3 + 19𝑥 2 − 17𝑥 + 15)
8. (𝑥 + 1), (𝑥 4 − 𝑥 3 − 2𝑥 2 + 7𝑥 + 7)
Find the following using the Remainder Theorem for: 𝒇(𝒙) = 𝟐𝒙𝟒 + 𝟔𝒙𝟑 − 𝟓𝒙𝟐 − 𝟔𝟎
9. 𝑓(−1)
10. 𝑓(−3)