# How do you write the partial fraction decomposition of the rational expression # (x^2+8)/(x^2-5x+6)#?

##### 1 Answer

Dec 15, 2015

#### Explanation:

Since the degree of the denominator is not more than the degree of the numerator, we first long divide the expression to obtain that

The denominator

By comparing terms in the numerator of these equivalent fractions, it is then clear that

Hence the partial fraction decomposition for the original expression is