Question 231208
{{{(3x^3 + 8x^2 + 5x + 10)/(x+2)}}}
Synthetic division works for division of expressions like (x-a). So we have to picture the problem as:
{{{(3x^3 + 8x^2 + 5x + 10)/(x - (-2))}}}
Now we can proceed:
<pre>
-2 |   3   8   5   10
----      -6  -4   -2             
      ---------------
       3   2   1    8
</pre>
So
{{{(3x^3 + 8x^2 + 5x + 10)/(x+2) = 3x^2 + 2x + 1 + 8/(x+2)}}}