MathDB
Math Prize 2011 Problem 17

Source:

September 19, 2011
algebrapolynomialLaTeX

Problem Statement

There is a polynomial PP such that for every real number xx, x512+x256+1=(x2+x+1)P(x). x^{512} + x^{256} + 1 = (x^2 + x + 1) P(x). When PP is written in standard polynomial form, how many of its coefficients are nonzero?
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