Posted by Goldfish on .
How do i do this using long division? This is part of a Partial Fractions Question. Please help, thanks!
(x^3) / (x^3  2x^2 + 3x  18)
I tried using long division, but I could only get a quotient of 1, and a remainder of 2x^2  3x + 18
Did i do something wrong?

Quadratic Long Division (sos Reiny!) 
drwls,
One does not use polynomial long division to apply the method of partial fractions. Try factoring x^3  2x^2 + 3x  18 instead. The factors are (x3)and (x^2 +x 6).
The next step is, I believe to express your ratio in terms of
C/(x3) + (Ax + B)/(x^2 +x 6).
where A, B and C are constants. There should be three values that work. 
Quadratic Long Division (error) 
drwls,
Change (x^2 +x 6) to (x^2 +x +6)