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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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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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