Answer
Vertical asymptotes:
$x=±1$
There is no horizontal asymptote.
Work Step by Step
For the vertical asymptote, the denominator must be equal to $0$:
$x^2-1=0$
$x^2=1$
$x=±1$
The degree of the numerator is greater than the degree of the denominator. So, there is no horizontal asymptote.