Let x be an indeterminate.

Let be a monic polynomial with integer coefficients and positive degree n.

Assume that this polynomial has a rational root r.

Prove that r is an integer.

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- February 7th 2010, 05:35 PMDeepuintegers proof
Let x be an indeterminate.

Let be a monic polynomial with integer coefficients and positive degree n.

Assume that this polynomial has a rational root r.

Prove that r is an integer. - February 7th 2010, 06:46 PMBruno J.
I would first like to point out that there is no reason for you to use LaTeX if you don't know how to use it! Please take 10 minutes to learn the basics, it will be easier for everybody.

Please read this post of mine which answers your question in a more general form.