How do I find the x intercept, horizontal, vertical, slant asymptotes for (x+5) / (x^2 - 3x - 10)

x=intercept means y = 0

So it would basically be x + 5 = 0, & x = -5

Vertical asymptote means the denominator has to be 0

(x + 2)(x - 5) = 0, so x = -2 & x = 5

for the x intercept, make y 0 and solve for x
for the vertical asymptote(s) equate the denominator to zero and solve for x this will give the equation of the line of the asymptotes (since it is impossible to divide something by 0)
there are no slant asymptotes because the degree of the denominator is greater than the degree of the numerator, therefore the horizontal asymptote is 0