Remainder; Reorder; Resultant - HP 48gII Advanced User's Reference Manual

Output: The equivalent matrix in echelon form.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Complex mode must be set (flag –103 set) if the input is complex.
See also: rref, RREFMOD

REMAINDER

Type: Function
Description: Returns the remainder of the Euclidean division of two polynomials.
Arithmetic, !Þ
Access:
Input: Level 2/Argument 1: The numerator polynomial.
Level 1/Argument 2: The denominator polynomial.
Output: The remainder resulting from the Euclidean division.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Complex mode must be set (flag –103 set) if either input is complex.
Example: Find the remainder of the division of
Command:
REMAINDER(X^3+6*X^2+11*X+6, X^2+5*X+6)
Result:
0
See also: QUOT

REORDER

Type: Function
Description: Given a polynomial expression and a variable, reorders the variables in the expression in the
order of powers set on the CAS Modes screen, that is, either in increasing or decreasing order.
Catalog, ...µ
Access:
Input: Level 2/Argument 1: The polynomial expression.
Level 1/Argument 2: The variable with respect to which the reordering is performed.
Output: The reordered expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Radians mode must be set (flag –17 set).
Complex mode must be set (flag –103 set) if the polynomial contains complex terms.
The polynomial terms order flag (flag –114) must be set for increasing power order, or clear
(the default) for decreasing power order.
Example: Reorder the polynomial x
power mode has been set in the CAS modes.
Command:
REORDER(X^2+2*Y^2+2*X+6+3*Y, Y)
Result:
2*Y^2+3*Y+(X^2+2*X)

RESULTANT

Type: Function
Description: Returns the resultant of two polynomials of the current variable. That is, it returns the
determinant of the Sylvester matrix of the two polynomials.
!«
POLYNOMIAL
3 2
x + 6x +
+ 2y +2x +3y in order of powers of y. Assume that increasing
2 2
2
11 x + 6 x + 5x + 6
by .
Computer Algebra Commands 4-61