## Problem of the Day #267: A Ponderous Polynomial
*December 11, 2011*

*Posted by Saketh in : potd , trackback*

Let $f(x)$ be a polynomial of degree $n$ such that $f(x)f(2x^2) = f(2x^3+x)$. Determine the greatest integer value of $n$ for which $f(1)$ is less than $2011$.

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