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Unformatted text preview: d f divides h in Q [ x ] . Since d f is primitive, we deduce that d f divides h in Z [ x ] , equivalently g / d Z [ x ] . Therefore the product of any coefcient of d f with any coefcient of g / d is an integer. We conclude that the product of any coefcient of f with any coefcient of g is an integer, as required....
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This note was uploaded on 01/02/2012 for the course MATH 5125 taught by Professor Palinnell during the Fall '07 term at Virginia Tech.
 Fall '07
 PALinnell
 Algebra, Polynomials

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