Mathematik-Online lexicon: Roots of Polynomials

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	Mathematik-Online lexicon:
	Roots of Polynomials

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Example 1:

$\displaystyle x^3+x^2-3x-3=0$

Possible integer roots:

$\displaystyle x=\pm1 \textnormal{, } \pm3$

$\displaystyle x=-1 : \qquad -1+1+3-3=0 \qquad \textnormal{true}$

$\displaystyle x_{1}=-1$

Polynomial division:

$\displaystyle (x^3+x^2-3x-3):(x+1)=x^2-3$

$\displaystyle x^2-3$	$\displaystyle =0$
$\displaystyle x_{2,3}$	$\displaystyle =\pm\sqrt{3}$

(Authors: Jahn/Knödler)

automatisch erstellt am 8. 7. 2004