Andengradspolynomier

Et andengradspolynomium er et polynomium hvori den uafhængige variabel indgår i 2. potens

Et andengradspolynomium har formen

f(x)=ax2+bx+c, a≠0

a, b og c kaldes for koefficentier og er reelle tal.

Andengradspolynomiets graf er en parabel med et toppunkt, som enten er et maksimum eller et minimum afhængig af fortegnet for a.

Undervisningsvideoer

På hjemmesiden http://www.frividen.dk har jeg fundet et par videoer om koefficenternes betyding for parablens udseende og løsning af andengradsligningen:

Andengradspolynomiet. Betydning af konstanterne abc

Konstanternes betydning for grafens udseende gennemgåes. Der inddrages differentialregning, hvilket er lidt irriterende, da emnet typisk kommer før differentialregning, så det må man se gennem fingre med

Eksempel Andengradsligning

Der vises, hvordan man løser en andengradsligning, dvs. en ligning på formen ax2+bx+c=0

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