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For the following exercises, use Descartes Rule of Signs to find the possible number of

Chapter 5, Problem 30

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QUESTION:

For the following exercises, use Descartes Rule of Signs to find the possible number of positive and negative solutions. .

\(2x^{4} - x^{3} + 4x^{2} - 5x + 1 = 0\)

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QUESTION:

For the following exercises, use Descartes Rule of Signs to find the possible number of positive and negative solutions. .

\(2x^{4} - x^{3} + 4x^{2} - 5x + 1 = 0\)

ANSWER:

Problem 30:

For the following exercises, use Descartes Rule of Signs to find the possible number of positive and negative solutions.

                                                           Step By Step Solution

Step 1 of 3

The given polynomial is in descending order. Descartes rule of signs tells us that if a polynomial is written in descending order, the number of sign changes in f(x) will give you the number of positive solutions and the number of sign changes in f(-x) gives you the number of negative solutions.

Given polynomial:

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