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Math Help - primitive roots

  1. #1
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    primitive roots

    use lagrange's theorem to show that if p is a prime and f(x) is a polynomial of degree n with integer coefficients and more than n roots modulo p, then p divides every coefficient of f(x)
    Last edited by silentbob; July 7th 2009 at 01:20 PM.
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Hint : show that the constant term is divisible by p by considering f(0).

    Next consider (f(x)-f(0))/x and keep doing the same thing.
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