# Sturm's Theorem for Polynomials

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Let be the number of real roots of an algebraic equation with real coefficients whose real roots are simple over an interval and are not or . Then , the difference between the number of sign changes of the Sturm chain evaluated at and at .

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Contributed by: Izidor Hafner (January 2017)

Open content licensed under CC BY-NC-SA

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## Permanent Citation

"Sturm's Theorem for Polynomials"

http://demonstrations.wolfram.com/SturmsTheoremForPolynomials/

Wolfram Demonstrations Project

Published: January 11 2017