SOLUTION: For the function f(x)=(2x^3+3x-5)/(x^2+x-30) a) Find the slant asymptote b) Find the vertical asymptotes

Algebra ->  Functions -> SOLUTION: For the function f(x)=(2x^3+3x-5)/(x^2+x-30) a) Find the slant asymptote b) Find the vertical asymptotes      Log On


   

Question 390152: For the function f(x)=(2x^3+3x-5)/(x^2+x-30)
a) Find the slant asymptote
b) Find the vertical asymptotes
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a) There are no cancellations from top and bottom of the rational function. proceed to do long division of polynomials.
The result would be
2x-2+%2B+%2865%28x-1%29%29%2F%28x%5E2%2B+x-30%29.
The quotient y = 2x - 2 is the slant asymptote.
b)The vertical asymptotes are the roots of the bottom expression: x = -6 and x = 5.