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May 25, 2015

Homework Help: Math (algebra)

Posted by Mark on Monday, July 8, 2013 at 1:07pm.

For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a
x(f(x+a)−f(x))=nf(x)
Find the largest possible number of such polynomials f(x) for a fixed n<1000.

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