Precalculus Descartes' Rules of Signs
This precalculus video tutorial provides a basic introduction into Descartes rule of signs which determines the nature and number of the solutions to a polynomial equation. The number of sign changes in f(x) is related to the number of positive real zeros and the number of sign changes in f(-x) is related to the number of negative real zeros. This video explains the results of Descartes rule of signs using a table. This video explains how to identify the exact number of positive and negative real zeros by actually finding all the zeros of the polynomial function by factoring by grouping and by factoring using synthetic division. This video contains plenty of examples and practice problems.
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