DE-BOOK Rational Functions

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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 56. Rational Function.

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

For example, the following are rational functions:

\begin{equation*} \frac{s^2 + 3s + 2}{s - 1}, \quad \frac{2s^3 - 5s + 7}{s^2 - 4}, \quad \frac{1}{s^2 + 1}\text{.} \end{equation*}

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