Explore BrainMass

Explore BrainMass

    Eisenstein's Criterion

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

    ---
    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.

    © BrainMass Inc. brainmass.com October 7, 2022, 7:00 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/eisensteins-criterion-55595

    Attachments

    Solution Summary

    This solution provides a proof of irreducibility.

    $2.49

    ADVERTISEMENT