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Mathematics 11 Online
OpenStudy (anonymous):

Identify the oblique asymptote of f(x)=(2x^2+3x+8)/(x+3)

OpenStudy (anonymous):

divide, which is kind of a pain,but you can use synthetic division if you know it

OpenStudy (anonymous):

I kind of know it

OpenStudy (anonymous):

you will get a quotient and a remainder ignore the remainder, the quotient (which will be a line) is your "oblique" asmptote

OpenStudy (anonymous):

you can always cheat if you know how

OpenStudy (anonymous):

I don't haha

OpenStudy (anonymous):

scroll down to where it says "quotient and remainder" http://www.wolframalpha.com/input/?i=%282x^2%2B3x%2B8%29%2F%28x%2B3%29

OpenStudy (anonymous):

you will see that is has the quotient at \(2x-3\) so that is your asymptote but synthetic division is pretty quick and easy

OpenStudy (anonymous):

So would the answer be y=2x-3?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Thank you :)

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