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zmudz
 one year ago
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!
zmudz
 one year ago
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!

This Question is Closed

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.0http://math.stackexchange.com/questions/1414792/findapolynomialinxfrac1x
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