Use descartes rule of signs to find the number of positive and negative real zeros

Use descartes rule of signs to find 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 determine the number of positive and negative real zeros in a polynomial using Descartes' Rule of Signs. It covers the rational zero test and demonstrates how to apply Descartes' Rule by counting sign changes in the polynomial's standard form. The tutorial also explains how to handle negative inputs to find negative real zeros.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to apply the Rational Root Theorem in conjunction with Descartes' Rule of Signs.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the possible outcomes for the number of positive real zeros if the polynomial has 2 sign changes?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the concept of even and odd powers affect the signs of terms in a polynomial?

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