Consider the complex rational function

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the complex rational function f(x)=x3−2x2−8xx2−x−12f(x) = \frac{x^3 - 2x^2 - 8x}{x^2 - x - 12}. State the equation(s) of any vertical asymptotes, the equation of the oblique (slant) asymptote, and the exact (x,y)(x, y) coordinates of any holes.

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