8. Let F be a field and let f(x) be an irreducible polynomial in F[x] Then if the characteristic of F is zero, then f(x) has no multiple root in field any extension of F
8. Let F be a field and let f(x) be an irreducible polynomial in F[x] Then if the characteristic of F is zero, then f(x) has no multiple root in field any extension of F
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 8E: Let be an irreducible polynomial over a field . Prove that is irreducible over for all nonzero ...
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