Manual HP 50g graphing calculator (page 203 of 916) (Dutch)

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Blz. 5-26

FCOEF([2, 1, 0, 3, –5, 2, 1, –2, –3, –5]) = ‘(X--5)^2*X^3*(X-2)/(X--3)^5*(X-

1)^2’

Indien u μ„î` (of simpelweg μ, in RPN modus) indrukt, krijgt u:

‘(X^6+8*X^5+5*X^4-50*X^3)/(X^7+13*X^6+61*X^5+105*X^4-45*X^3-

297*X^2-81*X+243)’

De functie FROOTS

De functie FROOTS bevat de wortels en polen van een breuk. Als we

bijvoorbeeld de functie FROOTS zouden toepassen op het bovenstaande

resultaat,zouden we het volgende krijgen: [1 –2. –3 –5. 0 3. 2 1. –5 2.]. Het

resultaat toont de polen gevolgd door hun veelvoud als een negatief getal en

de wortels gevolgd door hun veelvoud als een postief getal. In dit geval zijn de

polen respectievelijk (1, -3) met de veelvouden (2,5) en zijn de wortels

respectievelijk (0,2,-5) met de veelvouden (3,1,2).

Nog een voorbeeld is: FROOTS(‘(X^2-5*X+6)/(X^5-X^2)’)= [0 –2. 1 –1. 3 1.

2 1.]. d.w.z. polen = 0 (2), 1(1), en wortels = 3(1), 2(1). Met de Complex-

modus ingesteld, is het resultaat: [0 –2. 1 –1. – ((1+i*

√3)/2) –1. – ((1–i*√3)/

2) –1. 3 1. 2 1.].

Stapsgewijze bewerking van polynomen en breuken

Als de CAS-modus wordt ingesteld op Step/step geeft de rekenmachine

vereenvoudigde breuken of bewerkingen met polynomen stapsgewijs weer. Dit

is zeer handig om de stappen te zien van een synthetische deling. Het

voorbeeld van de deling

wordt in bijlage C uitvoerig weergegeven. Het volgende voorbeeld toont een

langere synthetische deling:

Merk op dat DIV2 op te roepen is via het ARITH/POLYNOMIAL menu.

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HP 50g graphing calculator Manual

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