Mathematik-Online problems: Problem 135: Rolle's Theorem

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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

(Authors: /Höfert)

see also:

automatisch erstellt am 12. 4. 2005