Any ideas on this one?

Let f(x) be a monic polynomial over Z. Show that if n is a nonzero integer such that f(n) = 0, then n divides f(0).

Thanks!

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- Apr 28th 2009, 05:55 PMhka210monic polynomials
Any ideas on this one?

Let f(x) be a monic polynomial over Z. Show that if n is a nonzero integer such that f(n) = 0, then n divides f(0).

Thanks! - Apr 28th 2009, 07:42 PMGamma

n divides the left side, so n divides - Apr 29th 2009, 04:26 PMHallsofIvy