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Determine the number of positive, negative and non-real roots of each polynomial function. Apply the Descartes' Rule of Signs. 1. F(x) = x-5x2 + x- 5 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 2. F(x) = x-3x3 + 2x2 + 2x - 4 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 3. F(x) = 2x-15x3+39x2-36x+ 10 No. of positive roots !! No. of negative roots No. of Nonreal roots Total no. of roots

Determine the number of positive, negative and non-real roots of each polynomial function. Apply the Descartes' Rule of Signs. 1. F(x) = x-5x2 + x- 5 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 2. F(x) = x-3x3 + 2x2 + 2x - 4 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 3. F(x) = 2x-15x3+39x2-36x+ 10 No. of positive roots !! No. of negative roots No. of Nonreal roots Total no. of roots

Algebra and Trigonometry (6th Edition)
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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Determine the number of positive, negative and non-real roots of each polynomial function. Apply the Descartes' Rule of Signs. 1. F(x) = x-5x2 +x-5 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 2. F(x) = x-3x3 + 2x2 + 2x- 4 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 3. F(x) = 2x-15x3+ 39x2-36x+ 10 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots
Transcribed Image Text:Determine the number of positive, negative and non-real roots of each polynomial function. Apply the Descartes' Rule of Signs. 1. F(x) = x-5x2 +x-5 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 2. F(x) = x-3x3 + 2x2 + 2x- 4 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots 3. F(x) = 2x-15x3+ 39x2-36x+ 10 No. of positive roots No. of negative roots No. of Nonreal roots Total no. of roots
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