How to apply Descartes rule of signs for polynomials

The video tutorial explains how to find zeros in polynomials, including rational, irrational, and complex zeros. It introduces Descartes' Rule of Signs to determine the number of real zeros by counting sign changes in the polynomial. The Fundamental Theorem of Algebra is discussed, emphasizing that the degree of a polynomial indicates the total number of zeros, which can be real or complex. The tutorial provides examples and calculations to illustrate these concepts, helping students understand the possible combinations of zeros in a polynomial.

How does the number of sign changes affect the count of positive real zeros?

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Describe the process of determining the number of negative real zeros.

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What are the possible combinations of real and complex zeros for a polynomial of degree five?

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