Hi. I need a proof of the following:

If a polynomial P has n different real roots, then its derivative has at least n-1 roots.

Could you please help me?

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I've already solved this one, using the Rolle's theorem :)

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- Dec 16th 2012, 03:24 AMwilhelm**solved** polynomial n roots derivative n-1 roots
Hi. I need a proof of the following:

If a polynomial P has n different real roots, then its derivative has at least n-1 roots.

Could you please help me?

----------------------

I've already solved this one, using the Rolle's theorem :)