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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:
DIVMOD(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+12,11*X''11 + 1,4)
Result: 12+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