please help me with my math! thanks

label Mathematics
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Aug 12th, 2015

Thank you for the opportunity to help you with your question!

It is a oblique asymptote because the degree of numerator is larger than denominator (x^2 > x). You need to do long division. 

        _-2x+7___________

x+2 | -2x^2+3x+6

          -2x^2 -4x (change signs) 

         ---------------------------------------

                 7x+6

                 7x+14 (change signs)

---------------------------------------------

-8

 By doing so, we get -8 as remainder and quotient as -2x+7.

Therefore, the oblique, y= -2x+7

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 12th, 2015

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