Question 374123
{{{(2r^3-6r-36)/(r-3)}}}
I find synthetic division easiest in problems like this:
<pre>
3 |  2   0   -6   -36   <== Note: The zero is for the missing squared term
---      6   18    36
    ------------------
     2   6   12     0
</pre>
The zero in the bottom right tells us that the remainder is zero. And the rest of the bottom like tells use the quotient. So
{{{(2r^3-6r-36)/(r-3) = 2r^2 + 6r + 12}}}