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On a Perplexing Polynomial Puzzle

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It seems rather surprising that any given polynomial p(x) with nonnegative integer coefficients can be determined by just the two values p(1) and p(a), where a is any integer greater than p(1). This result has become known as the “perplexing polynomial puzzle”. Here, we address the natural question of what might be required to determine a polynomial with integer coefficients, if the condition that the coefficients be nonnegative is removed.
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Document Type: Research Article

Publication date: 2010-11-01

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