Anonymous posted an Question
August 17, 2020 • 21:24 pm 80 points
  • IIT JAM
  • Mathematics (MA)

1. suppose that f(x) e zplx] and is irreducible over zp, where p is a prime. if deg f(x) = n, find the number of elements in the field z,lx]/{f(x). show that th

1. Suppose that f(x) E Zplx] and is irreducible over Zp, where p is a prime. If deg f(x) = n, find the number of elements in the field Z,lx]/{f(x). Show that the polymomial x +2x +3 is irreducible over Zs and use this to construct a field of order 25.

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