# Eisenstein's Criterion

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(See attached file for full problem description with proper equations)

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Let p be an odd prime and let be the p-th cyclotomic polynomial. Use the fact that to show that , and so find coefficients such that . Hence show that is irreducible over by using Eisenstein's criterion.

https://brainmass.com/math/basic-algebra/eisensteins-criterion-55595

#### Solution Summary

This solution provides a proof of irreducibility.

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