Let f(x) be a polynomial of degree 3 and f(c) = 0. Let g(x) be a polynomial of degree 2 and g(c) ≠ 0. What type of asymptote is located at x = c for g(x)/f(x)
a) Horizontal Asymptote
b) Vertical Asymptote
c) Oblique Asymptote
d) none
We will have a vertical asymptote
See an example here: https://www.desmos.com/calculator/38rlm9mnnw
g (x) = 2x^2 -1
f(x) = x^3
g(0) = 2(0)^2 - 1 = -1
f(0) = (0)^3 = 0
Note...that at x = c = 0......we have the vertical asymptote x = 0