# Partial Fraction Decomposition

1. Oct 15, 2008

### protivakid

1. The problem statement, all variables and given/known data

$$\frac{4x^{4}-8x^{3}+5x^{2}-2x-1}{2x^{2}-3x-2}$$

2. Relevant equations

3. The attempt at a solution

I started of by breaking the bottom part down into (2x+1)(x-2) which then allowed me to set...
$$\frac{A}{(2x+1)}$$+$$\frac{B}{(x-2)}$$

The problem is from here I tried synthetic division however it gave me an answer that did not make any sense. Am I setting this up right or have I messed up already? Thanks guys.

2. Oct 15, 2008

### Defennder

I don't know if you forgot to include the step of dividing the polynomial fraction such that the degree of the numerator polynomial is less than that of the denominator's.

3. Oct 17, 2008

### protivakid

Thanks for the reply, I didn't forget to put it in, I forgot to do it lol. I'm still learning how to do all these problems so even obvious hints make a world of difference to me. I managed to completely solve it from there so thank you.