Consider the polynomial equation of, P(x) = 0, where P(x) = a – 2a +a² + 2x- 2. a) Use Descartes rule of sign to determine the number of possible positive and negative roots of P(z) b) What are the possible rational zeros of, P(x),? c) Use Bounds theorem to find the possible maximum and minimum values for the zeroes of P(z). d) Use the Remainder Theorem to find the reminder when P(x) is divided by (x-1+i) Use parts (a) to (d) to write P(x) as a product of a linear factors.

Consider the polynomial equation of, P(x) = 0, where P(x) = a – 2a +a² + 2x- 2. a) Use Descartes rule of sign to determine the number of possible positive and negative roots of P(z) b) What are the possible rational zeros of, P(x),? c) Use Bounds theorem to find the possible maximum and minimum values for the zeroes of P(z). d) Use the Remainder Theorem to find the reminder when P(x) is divided by (x-1+i) Use parts (a) to (d) to write P(x) as a product of a linear factors.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 22RE

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