1. In ℤ_4[x], compute the cube of f(x)=x-2 or determine (x-2)^3. (Note: each term in the sequence should only be one of the following 0,1,2,3. In Z_4, we write -1 as 3 since it is congruent to 3 modulo 4.) 2. QuestionIn ℤ_3[x], compute the 4th power of f(x)=x+2 or determine (x+2)^4. (Note: each term in the sequence should only be one of the following 0,1,2. In Z_3, we write -1 as 2 since it is congruent to 2 modulo 3.)

1. In ℤ_4[x], compute the cube of f(x)=x-2 or determine (x-2)^3. (Note: each term in the sequence should only be one of the following 0,1,2,3. In Z_4, we write -1 as 3 since it is congruent to 3 modulo 4.) 2. QuestionIn ℤ_3[x], compute the 4th power of f(x)=x+2 or determine (x+2)^4. (Note: each term in the sequence should only be one of the following 0,1,2. In Z_3, we write -1 as 2 since it is congruent to 2 modulo 3.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 42E

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