Mathematik-Online lexicon: Roots of Polynomials

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	Mathematik-Online lexicon:
	Roots of Polynomials

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

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)

see also:

automatisch erstellt am 8. 7. 2004