Question

Given that \(x^n - (1/x^n)\) is expressible as a polynomial in \(x - (1/x)\) with real coefficients only if \(n\) is an odd positive integer, find \(P(z)\) so that \(P(x-(1/x)) = x^5 - (1/x)^5.\)

I've tried \(x^5+5x^3+5x\), but it isn't working :( Help greatly appreciated!

Answer 1

http://math.stackexchange.com/questions/1414792/find-a-polynomial-in-x-frac1x