Prove that the polynomial is irreducible over Hence construct
a field F with 25 elements which extends . Does the polynomial have
a zero in F? In other words, you need to find all the solutions (if any) to the equation
in F.
My attempt.
has no zero thus irreducible over (treid x=0,1,2,3,4) How do i construct field with 25 elements?
has no zero in F because this polynomial is also Irreducible over How do i find solution to
in F?
Thank you in advance.