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hat polynomial x^2 + y^2 + y^2 − xy − yz − zx is irred

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.

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Prove that polynomial x^2 + y^2 + y^2 − xy − yz − zx is irreducible in R [x, y].

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