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$\displaystyle f(x) \rightarrow \infty$, ****$\displaystyle (x \rightarrow a^+) $****or as f(x) approaches negative infinity, x approaches a from the left$\displaystyle f(x)\rightarrow -\infty$ as ****$\displaystyle (x \rightarrow a^-)$** **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.