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2008 PUMaC Algebra A8 / B9

Source:

September 24, 2019
algebra

Problem Statement

Find the polynomial ff with the following properties: ∙\bullet its leading coefficient is 11, ∙\bullet its coefficients are nonnegative integers, ∙\bullet 72∣f(x)72|f(x) if xx is an integer, ∙\bullet if gg is another polynomial with the same properties, then g−fg - f has a nonnegative leading coecient.
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