Let x be an indeterminate.

Let $\displaystyle summation(i = 0 to n)a(subscript)i * x^i $ 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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- Feb 7th 2010, 04:35 PMDeepuintegers proof
Let x be an indeterminate.

Let $\displaystyle summation(i = 0 to n)a(subscript)i * x^i $ 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. - Feb 7th 2010, 05:46 PMBruno J.
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