4. Find the principal representative of each of the following: x³ -x + 1 mod x + 2 in Q[x] i. x3 ii. x7 + x + 1 mod x3 + x + 1 in Z3[x] iii. x4 + 2x + 4 mod x² + 1 in Z5[x] of Example 5 to find the principal represent
4. Find the principal representative of each of the following: x³ -x + 1 mod x + 2 in Q[x] i. x3 ii. x7 + x + 1 mod x3 + x + 1 in Z3[x] iii. x4 + 2x + 4 mod x² + 1 in Z5[x] of Example 5 to find the principal represent
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 13E
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