# How do you find the vertical, horizontal or slant asymptotes for #y = (8 x^2 + x - 2)/(x^2 + x - 72)#?

##### 1 Answer

Oct 23, 2016

The vertical asymptotes are

and the horizontal asymptote is

#### Explanation:

We start by factorising the denominator

As we cannot divide by so

So the vertical asymptotes are

As the degree of the polynomial of the numerator and denominator are the same, there is no slant asymptote.

To find the horizontal asymptote, we find the limit as

We take the highest order of the polynomials

And

So the horizontal asymptote is