Exercise 11.6. For every n = N, find a commutative ring A with a polynomial f(x) = A[x] so thatdeg f1 and f has exactly n zeros in A.

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Answered: Exercise 11.6. For every n = N, find a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.6: Algebraic Extensions Of A Field

Problem 14E

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Exercise 11.6. For every n = N, find a commutative ring A with a polynomial f(x) = A[x] so that deg f1 and f has exactly n zeros in A.