Caleb was determining the nature of the roots of the polynomial equation x* + 2x° +x +1 = 0. Follow Caleb's work below and identify his mistake. Then explain WHY it is wrong and show/tell Caleb how to correctly find the nature of the roots. Caleb's work/explanation: P(x) = x* + 2x +x +1 has 0 sign changes. P(-x) = -x* - 2r° – x2 – 1 has 0 sign changes. Since there are no sign changes for P(x), there are no positive roots. Since there are no sign changes for P(-x), there are no negative roots. Since none of the roots are positive or negative, all four roots must be complex.

Caleb was determining the nature of the roots of the polynomial equation x* + 2x° +x +1 = 0. Follow Caleb's work below and identify his mistake. Then explain WHY it is wrong and show/tell Caleb how to correctly find the nature of the roots. Caleb's work/explanation: P(x) = x* + 2x +x +1 has 0 sign changes. P(-x) = -x* - 2r° – x2 – 1 has 0 sign changes. Since there are no sign changes for P(x), there are no positive roots. Since there are no sign changes for P(-x), there are no negative roots. Since none of the roots are positive or negative, all four roots must be complex.

Name: see picture Caleb was determining the nature of the roots of the2polyn
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Description: see picture Caleb was determining the nature of the roots of the2polynomial equation x* + 2x° + x +1 = 0.Follow Caleb's work below and identify his mistake.Then explain WHY it is wrong and show/tell Caleb howto correctly find the nature of the roots.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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