Find the oblique (slant) asymptote of $LaTeX: \displaystyle f(x) = \frac{x^{3} + 15 x^{2} + 74 x + 120}{x^{2} - x - 2}$ .

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 $LaTeX: \displaystyle 92 x + 152$ . The oblique asymptote is $LaTeX: \displaystyle y = x + 16$ .