Synthetic Division

4 3

:

2 8 2 2 .

Divide

x x x by x

Example 1. The divisor is a monic (coeff. of highest power is 1)

linear polynomial

4 3

:

2 8 2 2 .

Divide

x x x by x

Example 2. The divisor is a linear (not monic) polynomial

4 3 2

:

8 12 6 1 2 1 .

Divide

x x x by x

4 3 2

:

8 12 6 1 2 1 .

Divide

x x x by x

Example 3. The divisor is a monic quadratic polynomial

4 3 2 2

:

3 2 9 8 2 .

Divide

x x x x by x x

4 3 2 2

:

3 2 9 8 2 .

Divide

x x x x by x x

• http://www.qc.edu.hk/math/Certificate%20Level/division.htm