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Let f(x) be an irreducible cubic over Q with cyclic Galois group. Show that all roots of f(x) are real

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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Let f(x) be an irreducible cubic over Q with cyclic Galois group. Show that all roots of f(x) are real.

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