If we are told that , where .

Prove that the polynomial has at least one real zero.

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- Nov 18th 2006, 09:13 PMputnam120polynomial root
If we are told that , where .

Prove that the polynomial has at least one real zero. - Nov 19th 2006, 12:23 AMCaptainBlack
- Nov 19th 2006, 06:00 AMThePerfectHacker
- Nov 19th 2006, 10:20 AMThePerfectHacker
- Nov 19th 2006, 10:31 AMCaptainBlack
Well this partiular statement is independent of as I said any odd order

polynomial, but in this case yes I suppose could in principle

be zero.

In fact I do have another method using Descartes rule of signs which

does use the condition, which I beleive handles the possibility that

(but I don't intend to check that now).

RonL