Consider the following polynomials over Z9, where a is written for [a] in Z9:- f(x) = 2x3+ 7x + 4, g(x) = 4x2+ 4x + 6, h(x) = 6x2 + 3. Find each of the following polynomials with all coefficients in Z9. f (x)g(x) + h(x)

Consider the following polynomials over Z9, where a is written for [a] in Z9:- f(x) = 2x3+ 7x + 4, g(x) = 4x2+ 4x + 6, h(x) = 6x2 + 3. Find each of the following polynomials with all coefficients in Z9. f (x)g(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 Z₉, where a is written for [a] in Z₉:-

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

Find each of the following polynomials with all coefficients in Z₉.

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

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Consider the following polynomial over Z9, where a is written for [ a ] in Z9: f(x)=2x3+7x+4, g(x)=4x2+4x+6, h(x)=6x2+3. Find each of the following polynomials with all coefficients in Z9. a. f(x)+g(x) b. g(x)+h(x) c. f(x)g(x) d. g(x)h(x) e. f(x)g(x)+h(x) f. f(x)+g(x)h(x) g. f(x)g(x)+f(x)h(x) h. f(x)h(x)+g(x)h(x)