# How do you find the asympototes for #y = (-8x^3 - 2x + 12)/( 7x^5 + 9x + 12)#?

##### 1 Answer

The horizontal asymptote is

There is a vertical asymptote

#### Explanation:

Since the degree of the denominator is greater than the numerator, we find

In general, the roots of quintics cannot be expressed in terms of ordinary radicals. In this particular case, the quintic is almost in Bring-Jerrard normal form, so it's relatively easy (believe me) to express the root in terms of the Bring Radical:

Let

Then:

Divide through by

So

and