Find all the possible real positive, real negative and complex zeros of a polynomial

Find all the possible real positive, real negative and complex zeros of a polynomial

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Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains the concept of complex solutions in polynomials, highlighting that complex solutions do not cross the x-axis. It introduces Descartes' Rule of Signs to determine the number of positive and negative real solutions by counting sign changes in the polynomial. The tutorial also covers how to find negative solutions using f(-x) and discusses the role of the polynomial's degree in determining the total number of zeros, including complex ones. The video concludes with a summary of these concepts and their application.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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