. Find a polynomial p(x) in Q[x] such that Q(V1 + v5) is ring-isomorphic to Q[x]/{p(x)).

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Answered: . Find a polynomial p(x) in Q[x] such…

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 15E

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. Find a polynomial p(x) in Q[x] such that Q(V1 + v5) is ring- isomorphic to Q[x]/{p(x)).