HP 48gII Graphing Quote, Arithmetic, !ÞPOLYNOMIAL !«, Quotient of the Euclidean division

Input/Output:

		Level 2/Argument 1	Level 1/Argument 2		Level 1/Item 1
		'symb1'	'global'	→	'symb2'
See also:	COLCT, EXPAN, ISOL, SHOW, SOLVE
QUOT
Type:	Function
Description:	Returns the quotient part of the Euclidean division of two polynomials.
Access:	Arithmetic, !ÞPOLYNOMIAL !«
Input:	Level 2/Argument 1: The numerator polynomial.
	Level 1/Argument 2: The denominator polynomial.
Output:	The quotient of 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).
Example:	Find the quotient of the division of x3 + 6x2 + 11x + 6 by x2 + 5x + 6 .
Command:	QUOT(X^3+6*X^2+11*X+6, X^2+5*X+6)
Result:	X+1
See also:	REMAINDER, DIV2, IQUOT
QUOTE	Function
Type:
Description:	Quote Argument Function: Returns its argument unevaluated.
	When an algebraic expression is evaluated, the arguments to a function in the expression are
	evaluated before the function. For example, when SIN(X) is evaluated, the name X is evaluated
	first, and the result is placed on the stack as the argument for SIN.
	This process creates a problem for functions that require symbolic arguments. For example, the
	integration function requires as one of its arguments a name specifying the variable of integration.
	If evaluating an integral expression caused the name to be evaluated, the result of evaluation
	would be left on the stack for the integral, rather than the name itself. To avoid this problem, the
	calculator automatically (and invisibly) quotes such arguments. When the quoted argument is
	evaluated, the unquoted argument is returned.
	If a userdefined function takes symbolic argument s, quote the arguments using QUOTE.
Access:	…µQUOTE

Input/Output:

	Level 1/Argument 1		Level 1/Item 1
	obj	→	obj
Example: The following
	userdefined function ArcLen calculates the arc length of a function:

«→ start end expr var

«start end expr var ˆ SQ 1 + ƒ var »

»

`OArcLen K

To use this userdefined function in an algebraic e xpression, the symbolic arguments must be quoted:

'ArcLen(0,π,QUOTE(SIN(X)),QUOTE(X))'

See also: APPLY, (Where)

Full Command and Function Reference 3189