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Descartes' Rule of Signs

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Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: A discussion by Scott Brodie of the basis of the attribution to Descartes of the proposition now known as Descartes' Rule of Signs: The number of positive roots of a polynomial with real coefficients is equal to the number of "changes of sign" in the list of coefficients, or is less than this number by a multiple of 2. With a simple proof by induction, using Bolzano's Theorem.
Levels: High School (9-12), College
Languages: English
Math Topics: Polynomials

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