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#### CaptainBlack

##### Well-known member

- Jan 26, 2012

- 890

Prove that the polynomials:

\[P_n(x)=x^{2n}-2x^{2n-1}+3x^{2n-2}- ... -2nx + (2n+1),\ \ \ (n=1,2...)\]

have no real roots.

CB

\[P_n(x)=x^{2n}-2x^{2n-1}+3x^{2n-2}- ... -2nx + (2n+1),\ \ \ (n=1,2...)\]

have no real roots.

CB

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