# Fxnd; Gauss - HP 48gII Advanced User's Reference Manual

Graphing calculator.

Command:
FOURIER(X^2,0)
EXPAND(ANS(1))
Result:
π
4/3*
^2
FROOTS
Type:
Command
Description:
For a rational polynomial, returns an array of its roots and poles, with their corresponding
multiplicities. This is the inverse of FCOEF and uses the same notation for roots and poles.
Arithmetic, !Þ
Access:
Input:
A rational polynomial.
Output:
An array of the form [Root 1, Multiplicity 1, Root 2, Multiplicity 2, . . .]
A negative multiplicity indicates a pole.
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).
If complex mode is set (flag –103 set), FROOTS looks for complex solutions as well as real
solutions.
If approximate mode is set (flag –105 set) FROOTS searches for numeric roots.
FCOEF

## FXND

Type:
Command
Description:
Splits an object into a numerator and a denominator.
Catalog, ...µ
Access:
Input:
A fraction, or an object that evaluates to a fraction.
Output:
The object split into numerator and denominator.
Level 2/Item 1: The numerator.
Level 1/Item 2: The denominator.
Flags:
Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Example:
Return the numerator and the denominator of the following expression:
2
x
3
------------------ -
z
+
4
Command:
FXND((X-3)^2/(Z+4))
Result:
{(X-3)^2, Z+4}
EXLR

### GAUSS

Type:
Command
Description:
Returns the diagonal representation of a quadratic form.
Matrices, !Ø
Access:
Input:
Level 2/Argument 1: The quadratic form.
Level 1/Argument 2: A vector containing the independent variables.
Output:
Level 4/Item 1: An array of the coefficients of the diagonal.
Level 3/Item 2: A matrix, P, such that the quadratic form is represented as P
diagonal matrix D contains the coefficients of the diagonal representation.
L
POLY
Computer Algebra Commands 4-33
DP, where the
T