Answered: For f(x), g(x), and Zn[x]in the given…

For f(x), g(x), and Zn[x]in the given question ,, find the greatest common divisor d(x) of f(x) and g(x) in Zn[x]. f(x) = x3+ 2x2+ 2, g(x) = 2x5+ 2x4+ x2 + 2, in Z3[x].

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 14T

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Question

For f(x), g(x), and Z_n[x]in the given question ,, find the greatest common divisor d(x) of f(x) and g(x) in Zⁿ[x].

f(x) = x³+ 2x²+ 2, g(x) = 2x⁵+ 2x⁴+ x² + 2, in Z₃[x].

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