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.
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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