Reduction of improper rational function for JEE

Formula

\[\frac{P(x)}{Q(x)}=S(x)+\frac{R(x)}{Q(x)},\quad \deg R<\deg Q\]

Variables: \(S(x)\) is quotient, \(R(x)\) remainder.

Conditions: Use polynomial division when \(\deg P\ge \deg Q\).

Preparing rational functions for partial fractions.