# What is the oblique asymptote of #y = ( x^3 + 5x^2 + 3x + 10 )/( x^2 + 1 )#?

##### 1 Answer

Sep 2, 2015

#### Answer:

The oblique asymptote is

#### Explanation:

A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

To find the slant asymptote you must divide the numerator by the denominator.

I will use synthetic division:

The quotient is

We can ignore the remainder, so the oblique asymptote is