MathDB
Putnam 1959 A1

Source: Putnam 1959

June 15, 2022
Putnamalgebrapolynomial

Problem Statement

Let nn be a positive integer. Prove that xn−1xnx^n -\frac{1}{x^{n}} is expressible as a polynomial in x−1xx-\frac{1}{x} with real coefficients if and only if nn is odd.
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