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- Feb 14, 2012

- 3,894

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Let $f(x)=ax^2+bx+c$ where $a,\,b$ and $c$ are real numbers. Assume that $f(0),\,f(1)$ and $f(2)$ are all integers. Prove that $f(2010)$ is also an integer and decide if $f(2011)$ is an integer.

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