SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: WHAT IS THE EQUATION OF THE SLANT ASYMPTOTE FOR {{{R(x) = (x^2 - x + 17) / (x^2 + 1)}}} 1. R(x) = x - 1 2. R(x) = 1 3. R(x) =

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: WHAT IS THE EQUATION OF THE SLANT ASYMPTOTE FOR {{{R(x) = (x^2 - x + 17) / (x^2 + 1)}}} 1. R(x) = x - 1 2. R(x) = 1 3. R(x) =       Log On


   

Question 158112: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
WHAT IS THE EQUATION OF THE SLANT ASYMPTOTE FOR R%28x%29+=+%28x%5E2+-+x+%2B+17%29+%2F+%28x%5E2+%2B+1%29
1. R(x) = x - 1
2. R(x) = 1
3. R(x) = x + 17
4. There is no slant asymptote
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

A rational function has a slant asymptote ONLY when the
degree of the numerator is 1 more than the degree of the
denominator.  In this rational function,

R%28x%29+=+%28x%5E2+-+x+%2B+17%29+%2F+%28x%5E2+%2B+1%29,

the degree of the numerator is 2 and the degree of the
denominator is also 2, so there is no slant asymptote. 

Edwin