HP 48gII Graphing Calculator Manual do Utilizador descarregar pdf (Página 802)

100

101

Page C-8

For example, having selected the Step/step option, the following screens

show the step-by-step division of two polynomials, namely, (X

-5X

+3X-2)/(X-

2). This is accomplished by using function DIV2 as shown below. Press `

to show the first step:

The screen inform us that the calculator is operating a division of polynomials

A/B, so that A = BQ + R, where Q = quotient, and R = remainder. For the

case under consideration, A = X

-5X

+3X-2, and B = X-2. These polynomials

are represented in the screen by lists of their coefficients. For example, the

expression A: {1,-5,3,-2} represents the polynomial A = X

-5X

+3X-2, B:{1,-2}

represents the polynomial B = X-2, Q: {1} represents the polynomial Q = X,

and R:{-3,3,-2} represents the polynomial R = -3X

+3X-2.

At this point, press, for example, the ` key. Continue pressing ` the key

to produce additional steps:

Thus, the intermediate steps shown represent the coefficients of the quotient

and residual of the step-by-step synthetic division as would have been

performed by hand, i.e.,

−

−+−

−

−+−

233

235

XXX

1 2 ... 797 798 799 800 801 802 803 804 805 806 807 ... 863 864

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