Hello there!!

Can you prove this problem?,

Let the set F be a field and let c be a nonzero element of the set F. If f(cx) is irreducible over the set F, prove that f(x) is irreducible of over the set F.

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- Aug 14th 2011, 07:44 PMfourthIrreducibilty
Hello there!!

Can you prove this problem?,

Let the set F be a field and let c be a nonzero element of the set F. If f(cx) is irreducible over the set F, prove that f(x) is irreducible of over the set F. - Aug 15th 2011, 06:55 AMHallsofIvyRe: Irreducibilty
If f(x) were reducible, then we would have f(x)= g(x)h(x) for some g and h in F(x). But then f(cx)= g(cx)h(cx).