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Thread: polynomial n roots derivative n-1 roots

  1. December 16th 2012, 03:24 AM #1
    wilhelm
    wilhelm is offline
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    **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
    Last edited by wilhelm; December 16th 2012 at 05:59 AM. Reason: solved
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