# How do you express #(x²+2) / (x+3) # in partial fractions?

##### 1 Answer

#### Explanation:

because the top quadratic and the bottom is linear you're looking for something or the form

We know one bottom must be one because x+3 is linear.

We're starting with

We then apply standard fraction addition rules. We need to get then to a common base.

This is just like numerical fractions

So we get the bottom automatically.

Now we set

let

Then

substituting

or

in standard from this is

Putting it all together we have