Putnam 2010 B4

For discussing Olympiad Level Algebra (and Inequality) problems
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Sazid Akhter Turzo
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Putnam 2010 B4

Unread post by Sazid Akhter Turzo » Wed Jun 27, 2012 6:38 pm

Find all pairs of polynomials $p(x)$ and $q(x)$ with real coefficients for which
$p(x)q(x+1)-p(x+1)q(x)=1.$
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