Explore BrainMass

Explore BrainMass

    Irreducible Polynomial over a Field

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

    Please see the attached file for the fully formatted problems.

    5. Find an irreducible polynomial f(x) over the field Z3 with
    Z3[x]/(f(x)) = F243.

    Note that 243 = 3^5 .

    Please explain your reasoning and solution in as much detail as possible.
    Thank You.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:17 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/irreducible-polynomial-over-a-field-11704

    Attachments

    Solution Summary

    An irreducible polynomial over a given field is found. The solution is detailed and well presented.

    $2.19

    ADVERTISEMENT