Factormod; Factors; Fcoef - HP 48gII Advanced User's Reference Manual

Graphing calculator.

Example:
Factorize the following:
2
x
+
5x
+
Command:
FACTOR(X^2+5*X+6)
Result:
(X+2)(X+3)
EXPAN, EXPAND

FACTORMOD

Type:
Function
Description:
Factorizes a polynomial modulo the current modulus. The modulus must be less than 100,
and a prime number, it can be changed by MODSTO.
Arithmetic, !Þ
Access:
Input:
The expression to be factorized.
Output:
The factorized expression modulo the current modulus.
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:
Factorize the following expression modulo 3.
x
+2
2
Command:
FACTORMOD(X^2+2)
Result:
(X+1)*(X-1)
MODSTO

FACTORS

Type:
Command
Description:
For a value or expression, returns a list of prime factors and their multiplicities.
Arithmetic, !Þ
Access:
Input:
A value or expression.
Output:
A list of prime factors of the value or expression, with each factor followed by its multiplicity
expressed as a real number.
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 1:
Find the prime factors of 100.
Command:
FACTORS(100)
Result:
{5 2. 2 2.}
Example 2:
Find the irreducible factors of:
Command:
FACTORS(X^2+4*X+4)
Result:
{X+2,2.}

FCOEF

Type:
Command
Description:
From an array of roots and multiplicities/poles, returns a rational polynomial with a leading
coefficient of 1, with the specified set of roots or poles, and with the specified multiplicities.
Arithmetic, !Þ
Access:
6
MODULO
2
x
+
L
POLY
4x
+
4
Computer Algebra Commands 4-31