Polynomials Unit Day 1: Synthetic Division
Use synthetic division to divide the polynomial by the linear factor.
1. (3x2 + 7x + 2) ÷ (x + 2)
3x + 1
3. (7x2 – 3x + 5) ÷ (x + 1)
7x – 10 +
15
15
𝑥+1
-2
2x - 3
4. (4x2 + x + 1) ÷ (x – 2)
4x + 9 +
19
𝑥−2
𝑥+1
5. (– x4 – 2x3 + 3x2 + 4x – 4) ÷ (x + 2)
-x3+3x
2. (2x2 + 7x – 15) ÷ (x + 5)
6. (x3 +3x2 – 4) ÷ (x – 1)
x2+4x +4
Polynomials Unit Day 1: Synthetic Division
7. (x4 + 1) ÷ (x + 1)
x3 - x2 + x -1 +
8. (x4 + 9) ÷ (x + 3)
2
𝑥+1
9. (x4 – 16) ÷ (x + 2)
x3 - 2x2 + 4x -8
x3 -3x2 + 9x-27 +
90
𝑥+3
10. x6 + 4x5 – 2x3 + 7
x+1
x5 + 3x4 - 3x3 + x2 – x + 1
6
𝑥+1