Question

Find the slant asymptote and the vertical asymptotes of the given function.
r(x) =(5x^3 + 5x^2)/(x^2 − 4)

Answer 1

vertical asympote easy. set denominator = 0 and solve to get
\[x=2,x=-2\]

Answer 2

slant asymptote is what you get when you divide.

Answer 3

what do you mean? Divide what?

Answer 4

i mean divide
\[5x^3+5x^2\] by
\[x^2-4\]

Answer 5

you get
\[\frac{5x^3+5x^2}{x^2-4}=5x+5+\frac{20x+20}{x^2-4}\] so your slant asymptote is
\[y=5x+5\]