Descartes' Rule of Signs
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny|
|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|
© 1994-2014 Drexel University. All rights reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.