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Math Help - Irreducibilty

  1. #1
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    Irreducibilty

    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.
    Last edited by fourth; August 15th 2011 at 04:59 AM.
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  2. #2
    MHF Contributor

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    Re: 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).
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