Attached is the question I'm needing help with answering. TIA! 7.) Let a be a zero of f(x)=x² +2x+2 in some extension field of Z3.Find the other zero of f (x) in Z3[a].

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Description: Attached is the question I'm needing help with answering. TIA! 7.) Let a be a zero of f(x)=x² +2x+2 in some extension field of Z3.Find the other zero of f (x) in Z3[a].

Note: For simplicity, we have used α as a zero rather than a as a zero. Which writing the answer we…

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7.) Let a be a zero of f(x)=x² +2x+2 in some extension field of Z3. Find the other zero of f (x) in Z3[a].

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.3: Factorization In F [x]

Problem 9E: Let be a field. Prove that if is a zero of then is a zero of

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