Divpc, Egcd – HP 49g Graphing Calculator User Manual

Page 139

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Flags:

Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).

Example:

Modulo the default modulus, 3, divide 5a’^+4x+2 by

a-2+1.

Command:

D I V M O D ( 5 * X ^ 2 + 4 * X + 2 , X ^ 2 + l )

Result:

-

{ ( X ^ 2 - X + l ) / X " 2 + l ) )

DIVPC

Type:

Command

Description:

Returns a Taylor polynomial for the quotient of two
expressions.

Access:

Calculus,

(3&S)

LIMITS & SERIES

Input:

Level 3/Ai'gument 1: The nmuerator expression.
Level 2/Argument 2; The denominator expression.

Level 1/Argument 3: The degree of the Taylor
polynomial.

Output:

The Taylor polynomial at ,x = 0 of the quotient of the two

expressions, to the specified degree.

Flags:

Exact mode must be set (flag -105 clear).
Niuneric mode must not be set (flag -03 clear).

Example:

Find the fourth degree Taylor polpiomial for the

following:

+ 4x + 12

1 lx -P 1

Command:

DIVPC ( X ^ 3 + 4 * X + 1 2

,

11*X''11 + 1 , 4 )

Result:

1 2 + 4 * X + X " 3

EGCD

Type:

Command

Description:

Given two polynomials, a and b, returns polynomials u,

V ,

and c where:

au+bv=c
In the equation, c is the greatest common divisor of a
and b.

Page 14-16

Computer Algebra Commands

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