# Partial Fraction Decomposition

## Homework Statement

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

## 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.