Have you learned to do synthetic division?
The root(s) of , in increasing order, is/are: , , .
Factor the top. This will give you your roots.
has hole(s) when x is: , , .
Factor the denominator. Any factors from the denominator that can be canceled from the denominator and numerator are holes in your graph
has vertical asymptotes when x is: , , .
x = a is a vertical asymptote of the graph of f(x) if: as f(x) approaches infinity, x approaches a from the right , or as f(x) approaches negative infinity, x approaches a from the left as
From the denominator factors, after canceling any factors, the remaining factors from your denominator will be vertical asymptotes.
list the vertical asymptotes in increasing order.
has a horizontal asymptote at
Hint: -4 is a zero of both numerator and denominator, use synthetic division to find more of each.