# How do you write the partial fraction decomposition of the rational expression # (3x + 2) / [(x - 1)(x + 4)]#?

##### 1 Answer

Jan 2, 2016

#### Explanation:

Since the denominator already in the factor form we can rewrite it as

Multiply both sides by the LCD to get

Multiple the expression to get

Set up the system of equation like this

Solve system by elimination method

#=>A= 1#

Solve for B

Partial fraction of