Using Descartes's Rule of Signs, we can tell that the polynomial P(x) = x^5 - 6x^4 + 5x^3 - x^2

Name: Using Descartes's Rule of Signs, we can tell that the polynomial P(x) = x^5 - 6x^4 + 5x^3 - x^2 + 4x - 3 has, from smallest to largest, positive real zeros and negative real zeros.
Uploaded: 2020-03-29T02:35:38-08:00
Duration: 3 min 3 s
Channel: Monique Rousselle Maynard
Description: Using Descartes's Rule of Signs, we can tell that the polynomial P(x) = x^5 - 6x^4 + 5x^3 - x^2 + 4x - 3 has, from smallest to largest, positive real zeros and negative real zeros.

Step 1: Count the number of sign changes in the coefficients of the polynomial P(x)=x^5-6x^4+5x^

Question

Using Descartes's Rule of Signs, we can tell that the polynomial $P(x) = x^5 - 6x^4 + 5x^3 - x^2 + 4x - 3$ has, from smallest to largest, positive real zeros and negative real zeros.

          Using Descartes's Rule of Signs, we can tell that the polynomial $P(x) = x^5 - 6x^4 + 5x^3 - x^2 + 4x - 3$ has, from smallest to largest, positive real zeros and negative real zeros.

Added by Stephanie A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Monique Rousselle Maynard

03/29/2020

Step 1

The number of sign changes in the coefficients of P(x) is the number of positive real zeros of the polynomial. In this case, there are 3 sign changes: from + to -, - to +, + to -, and - to +. Therefore, there are either 3 positive real zeros or 1 positive real Show more…

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Using Descartes's Rule of Signs, we can tell that the polynomial P(x)=x^(5)-6x^(4)+5x^(3)-x^(2)+4x-3 has, from smallest to largest, , or positive real zeros and negative real zeros. Need Help? Using Descartes's Rule of Signs,we can tell that the polynomial Px56x4 +5x3-2+ 4x3 has, from smallest to largest positive real zeros and negative real zeros. Need Help?