Find the oblique (slant) asymptote of $LaTeX: \displaystyle f(x) = \frac{x^{3} + x^{2} - 69 x - 189}{x^{2} + 17 x + 72}$ .

The oblique asymptote is the whole part without the remainder after polynomial long division.

Dividing gives the quotient $LaTeX: \displaystyle x - 16$ and the remainder $LaTeX: \displaystyle 131 x + 963$ . The oblique asymptote is $LaTeX: \displaystyle y = x - 16$ .