Polynomial discovery algorithm puzzle

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Reference no: EM13132302

A student thinks of a polynomial p(x) of arbitrary degree, and non-negative integer coefficients. How can you determine the student's polynomial by asking for two values of her polynomial, say p(a) and p(b), where a and b are positive integers? Hint: A positive integer n can be written uniquely in base k, where k is a positive integer. This follows directly by a repeated application of the division algorithm.

Reference no: EM13132302

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