Section A.2 Rational Functions

Rational functions are a fundamental concept in algebra and calculus, and they play a significant role in differential equations. A rational function is defined as the ratio of two polynomials.

Definition A.4. Rational Function.

A rational function is a function that is the division of two polynomials.

For example, the following are rational functions:

\frac{s^{2} + 3 s + 2}{s - 1}, \frac{2 s^{3} - 5 s + 7}{s^{2} - 4}, \frac{1}{s^{2} + 1} .

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