14. Prove that FZ[]/(1+ 2i) is a field. How many elements are in F? What is thecharacteristic of F?

Z[I]\(1+2i) and the number of elements

Answered: 14. Prove that F Z[]/(1+ 2i) is 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 18E: Prove that a polynomial f(x) of positive degree n over the field F has at most n (not necessarily...

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14. Prove that F Z[]/(1+ 2i) is a field. How many elements are in F? What is the characteristic of F?