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Chapter 8 - Exploring Polynomial Functions

Proof of Descartes Rule of Signs
An interesting discussion followed by a proof of Descartes Rule of Signs is provided on this site. The article is by Scott Brodie. The web site is Alexander Bogomolny's Interactive Mathematics Miscellany and Puzzles. Click here.

History of Descartes Rule of Signs
A short discussion of the history of Descartes Rule of Signs and the nature of various mathematician's contribution to the "rule" in its current state is provided on this site. Note the contribution of Gauss! The web site is provided by the University of North Dakota in Grand Forks, North Dakota. Click here.

ExploreMath.com Activity: 4th Degree Polynomial
Experiment with the coefficients of a fourth degree polynomial and their effect on the graph of the function. Click here.

Real Zeros of Polynomial Functions
A well written and concise summary that covers much of what we have talked about regarding synthetic division, roots of polynomials, polynomial long division, Descartes Rules of Signs, and more. A careful reading of this short summary will should be very enlightening. The site is from Richland Community College in Decatur, Illinois and is by , James Jones, Associate Professor of Mathematics. Click here.


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