Descartes' rule of signs

Descartes' Rule of Signs is a mathematical theorem that provides a way to determine the number of positive and negative real roots of a polynomial function based on the signs of its coefficients. Here’s a concise breakdown of the rule: 1. **Positive Roots**: To find the number of positive real roots of a polynomial \(P(x)\), count the number of sign changes in the sequence of the coefficients of \(P(x)\).