SOLUTION: i need to divide this polynomial only divide it not factor it its: 2r^3-6r-36 divided by r-3 please help

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Question 374123: i need to divide this polynomial only divide it not factor it its: 2r^3-6r-36 divided by r-3 please help
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%282r%5E3-6r-36%29%2F%28r-3%29
I find synthetic division easiest in problems like this:
3 |  2   0   -6   -36   <== Note: The zero is for the missing squared term
---      6   18    36
    ------------------
     2   6   12     0

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
%282r%5E3-6r-36%29%2F%28r-3%29+=+2r%5E2+%2B+6r+%2B+12