Appendix A - A Exercises - Page A6: 42

$$\frac{x^3}{x^2}+\frac{-5x^2}{x^2} + \frac{4}{x^2}$$

We can split each component in the numerator up by making separate fractions, all with the same denominator. Thus, we find: $$\frac{x^3}{x^2}+\frac{-5x^2}{x^2} + \frac{4}{x^2}$$