Use Descartes Rule of signs to determine the number of positive and negative real zeros

Use Descartes Rule of signs to determine the number of positive and negative real zeros

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use the Carts Rule to determine the number of possible positive and negative real zeros in a polynomial. It describes how to identify variations in sign between terms to find positive real zeros and how to test for negative real zeros using F of negative X. The tutorial concludes by discussing the implications of these findings, including the presence of complex zeros and imaginary roots.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn if there are no variations in sign when testing for negative real zeros?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the relationship between the degree of a polynomial and the number of real and complex zeros.

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