Example 2.  Use the "quadratic synthetic division tableau" to divide    by  .  

Solution 2.

Use the "quadratic synthetic division tableau"

Since     we use  .    

Then simplify and get.

Thus we have

          

          
    and
          

          

This agrees with our previous computation in Example 1.

We are done.

Aside.  We can let Mathematica verify the result.  

(c) John H. Mathews 2004