Applying Descartes rule of signs to identify the real and complex zeros

The video tutorial explains the rule of signs, which helps determine the number of real positive, real negative, and complex zeros in a polynomial. It covers how to find positive real zeros by counting sign changes and negative real zeros by substituting negative X. The tutorial also discusses complex zeros, emphasizing that they come in conjugate pairs and are always even in number. The degree of the polynomial determines the total number of zeros, which can be a combination of real and complex zeros.

How can you determine the total number of zeros in a polynomial based on its degree?

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Discuss the implications of having an odd number of complex zeros.

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What relationship exists between the number of complex zeros and the number of real zeros?

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