h(x) = x^6 + 6x^4 + 21x − 15 is irreducible in Q[x]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 56E
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h(x) = x^6 + 6x^4 + 21x − 15 is irreducible in Q[x] can you show all the step please

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