Consider the following polynomials over Z8, where a is written for [a] in Z8 :- f(x) = 2x3+ 7x + 4, g(x) = 4x2+ 4x + 6, h(x) = 6x2+ 3. Find each of the following polynomials with all coefficients in Z8. f(x)g(x) + f(x)h(x)

Consider the following polynomials over Z8, where a is written for [a] in Z8 :- f(x) = 2x3+ 7x + 4, g(x) = 4x2+ 4x + 6, h(x) = 6x2+ 3. Find each of the following polynomials with all coefficients in Z8. f(x)g(x) + f(x)h(x)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 17E

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Question

Consider the following polynomials over Z₈, where a is written for [a] in Z₈:-

f(x) = 2x³+ 7x + 4, g(x) = 4x²+ 4x + 6, h(x) = 6x²+ 3.

Find each of the following polynomials with all coefficients in Z₈.

f(x)g(x) + f(x)h(x)

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