Answer
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.
$$(x-12)(x+5)=0 \\x =-5, 12$$
We then set the denominator equal to zero and solve to find the vertical asymptotes.
$$x+3 =0 \\ x=-3$$