SOLUTION: How do you solve this.... Let R(x)= x^4+2x^3+2x-21/ x^3+4x^2-2x+21. The R(x) has an asymptote that is either oblique, or constant but nonzero, or zero. What is the equation of thi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you solve this.... Let R(x)= x^4+2x^3+2x-21/ x^3+4x^2-2x+21. The R(x) has an asymptote that is either oblique, or constant but nonzero, or zero. What is the equation of thi      Log On


   

Question 329157: How do you solve this.... Let R(x)= x^4+2x^3+2x-21/ x^3+4x^2-2x+21. The R(x) has an asymptote that is either oblique, or constant but nonzero, or zero. What is the equation of this asymptote?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Divide the numerator and denominator by the largest degree of the denominator.
R%28x%29=+%28x%5E4%2B2x%5E3%2B2x-21%29%2F+%28x%5E3%2B4x%5E2-2x%2B21%29

R%28x%29=+%28x%2B2%2B2%2Fx-21%2Fx%5E2%29%2F+%281%2B4%2Fx-2%2Fx%5E2%2B21%2Fx%5E3%29
lim%28x-%3Einfinity%2CR%28x%29%29=%28x%2B2%2B0-2%29%2F%281%2B0-0%2B0%29
lim%28x-%3Einfinity%2CR%28x%29%29=x
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The oblique asymptote will look like be y=x
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