HP 48gII Graphing Calculator Manual do Utilizador descarregar pdf (Página 192)

The LAGRANGE function

The function LAGRANGE requires as input a matrix having two rows and n

columns. The matrix stores data points of the form [[x

]]. Application of the function LAGRANGE produces the polynomial

expanded from

For example, for n = 2, we will write:

Check this result with your calculator:

LAGRANGE([[ x1,x2],[y1,y2]]) = ‘((y1-y2)*X+(y2*x1-y1*x2))/(x1-x2)’.

Other examples: LAGRANGE([[1, 2, 3][2, 8, 15]]) = ‘(X^2+9*X-6)/2’

LAGRANGE([[0.5,1.5,2.5,3.5,4.5][12.2,13.5,19.2,27.3,32.5]]) =

‘-(.1375*X^4+ -.7666666666667*X^3+ - .74375*X^2 =

1.991666666667*X-12.92265625)’.

Note: Matrices are introduced in Chapter 10.

The LCM function

The function LCM (Least Common Multiple) obtains the least common multiple

of two polynomials or of lists of polynomials of the same length. Examples:

LCM(‘2*X^2+4*X+2’ ,‘X^2-1’ ) = ‘(2*X^2+4*X+2)*(X-1)’.

LCM(‘X^3-1’,‘X^2+2*X’) = ‘(X^3-1)*( X^2+2*X)’

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HP 48gII Graphing Calculator Manual do Utilizador Página 192