# Rewrite; Risch; Rref - HP 48gII Advanced User's Reference Manual

Graphing calculator.

Access:
Input:
Level 2/Argument 1: The first polynomial.
Level 1/Argument 2: The second polynomial.
Output:
The determinant of the two matrices that correspond to the polynomials.
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 either input contains complex terms.
Example:
Obtain the resultant of the two polynomials
x
-px+q and 3x
3
Command:
RESULTANT(X^3-P*X+Q, 3*X^2-P)
Result:
27*Q^2-4*P^3

## REWRITE

Type:
Command
Description:
Displays a menu or list of CAS operations that rewrite expressions.
Catalog, ...µ
Access:
Flags:
If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered
list. If the flag is set, displays the operations as a menu of function keys.
ALGB, ARIT, CONSTANTS, DIFF, EXP&LN, INTEGER, MAIN, MATHS, MATR,
MODULAR, POLYNOMIAL, TESTS, TRIGO

### RISCH

Type:
Function
Description:
Performs symbolic integration on a function using the Risch algorithm. RISCH is similar to
the INTVX command, except that it allows you to specify the variable of integration.
Calculus !Ö
Access:
Input:
Level 2/Argument 1: The function to integrate.
Level 1/Argument 2: The variable of integration.
Output:
The antiderivative of the function with respect to the variable.
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).
Example:
Find the antiderivative of the following function, with respect to y:
2
y
+
3y
+
Command:
RISCH(Y^2-3*Y+2,Y)
Result:
1/3*Y^3-3*(1/2*Y^2)+2*Y
IBP, INT, INTVX

### RREF

Type:
Command
Description:
Reduces a matrix to row-reduced echelon form. The reduction is carried out completely, so a
square matrix is reduced to an identity matrix. Step-by-step mode can be used to show how
the reduction proceeds.
Access:
Matrices,
Input:
A matrix.
4-62 Computer Algebra Commands
POLY
-p.
2
. &
DERIV
INTEG
2
LINEAR SYSTEMS
L.
, !´
MATRX FACTR  