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Putnam 2015 B1

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December 6, 2015
PutnamPutnam 2015Putnam calculus

Problem Statement

Let ff be a three times differentiable function (defined on R\mathbb{R} and real-valued) such that ff has at least five distinct real zeros. Prove that f+6f′+12f′′+8f′′′f+6f'+12f''+8f''' has at least two distinct real zeros.
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