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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)

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-8

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

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

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