Give a valid reason why this polynomial is irreducible over the rational numbers: X°-3. There is more than one correct answer. All nonconstant polynomials have roots A over the complex numbers There are no integers whose cubes are 3, В so there is no linear factor. (c) This polynomial generates a principal ideal. This satisfies the Eisenstein Irreducibility
Give a valid reason why this polynomial is irreducible over the rational numbers: X°-3. There is more than one correct answer. All nonconstant polynomials have roots A over the complex numbers There are no integers whose cubes are 3, В so there is no linear factor. (c) This polynomial generates a principal ideal. This satisfies the Eisenstein Irreducibility
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15RE
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