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Mathematik-Online problems:

Problem 135: Rolle's Theorem

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Let $ 0<a\leq 1$ and $ b\in\mathbb{R}$. Show that the polynomial

$\displaystyle p(x)=ax^3-3ax+b $

has at most one root within the interval $ [-a,a]$.

(Authors: /Höfert)

Solution:

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  automatisch erstellt am 12.  4. 2005