(x^3-4x²+2x-5)/(x²+2)
do the long division ... the quotient will be a linear expression that is the equation of the slant asymptote (ignore the remainder).
here's a link with some examples ...
Slant, or Oblique, Asymptotes
Did you figure out the answer? I learned about oblique/slant asymptotes a week ago and I thought I might try this problem out for practice. Would the answer by any chance be : x-4 R 4x+3 OR x-4 + (4x+3/x^2-2) Oblique asymptote being x-4 . Not sure If I am allowed to supply answers but I would just like to see if I am right.
Sean