Irreducible Polynomial over a Field
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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.
https://brainmass.com/math/basic-algebra/irreducible-polynomial-over-a-field-11704
Solution Summary
An irreducible polynomial over a given field is found. The solution is detailed and well presented.
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