SOLUTION: Find the oblique asymptote. Write your answer as an equation. y = {{{(9x^3 - 12x^2 - 20x + 3)/(3x^2 + x - 5)}}}

Algebra ->  Rational-functions -> SOLUTION: Find the oblique asymptote. Write your answer as an equation. y = {{{(9x^3 - 12x^2 - 20x + 3)/(3x^2 + x - 5)}}}      Log On


   

Question 860513: Find the oblique asymptote. Write your answer as an equation.
y = %289x%5E3+-+12x%5E2+-+20x+%2B+3%29%2F%283x%5E2+%2B+x+-+5%29
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Find the oblique asymptote. Write your answer as an equation.
y = %289x%5E3+-+12x%5E2+-+20x+%2B+3%29%2F%283x%5E2+%2B+x+-+5%29
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A:
We divide the numerator by the denominator.

The result is 3x+-+5+-+22%2F%283x%5E2+%2B+x+-+5%29.
As x increases or decreases without bound, the fractional part approaches zero. Therefore, the oblique asymptote is highlight%28y+=+3x+-+5%29.
Here's the graph: