1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give thesolutions in polar form using the principal argument.2. Let p(x) = x³ + ax² + bx - 15 for some real constants a, b. Given that2+i is a zero of p(x), find a, b and all other zeros of p(x).

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Answered: 1. Use de Moivre's theorem to find all…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)

Problem 29E

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1. Use de Moivre's theorem to find all solution to 25 +32i = 0. Give the solutions in polar form using the principal argument.