The answers are below.
Work Step by Step
In order to find the x-intercepts of the function, we set the numerator equal to zero and then find the value of x. $$(2x+5)(x-4)=0 \\ x=-2.5,4$$ We then set the denominator equal to zero and solve to find the vertical asymptotes. $$x^2=-1$$ There are no vertical asymptotes.