Thread: Problem 46
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Old February 24th, 2008, 02:56 PM
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Default Problem 46
1)Let f(x) be a monic polynomial* with integer coefficients with \deg f(x) \geq 1. Prove that if the sum of all coefficients and the product of all the complex zeros (counting multiplicity) are both odd then the polynomial has not integer zeros.

*)Leading term is 1.
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Last edited by ThePerfectHacker; February 28th, 2008 at 09:29 PM.
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