Let f (x) F[x] be a polynomial of degree n such that each irreducible factor is
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Let f (x) ∈ F[x] be a polynomial of degree n such that each irreducible factor is separable over F. Show that the order of the group of f(x) over F divides n !.
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Let 1 2 r be the distinct zeros of fx in F and form the splitting field K F 1 ...View the full answer
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