# Horner; Iabcuv; Ibasis - HP 48gII Advanced User's Reference Manual

Graphing calculator.

1
1
1
-- -
-- -
2
3
1
1
1
-- -
-- -
-- -
2
3
4
1
1
1
-- -
-- -
-- -
3
4
5
Result:
CON, IDN, RANM, VANDERMONDE

## HORNER

Type:
Command
Description:
Executes a Horner scheme on a polynomial. That is, for a given polynomial P, and a number
r, HORNER returns QUOT(P/(x–r)), r and also P(r)
Arithmetic, !Þ
Access:
Input:
Level 2/Argument 1: A polynomial, P.
Level 1/Argument 2: A number, r.
Output:
Level 3/Item 1: QUOT(P/(x–r))
Level 2/Item 2: r
Level 1/Item 3: P(r), the remainder of the division process.
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:
For r = 3, find the result of executing a Horner scheme on the following polynomial:
2
x
+ +
x
Command:
HORNER(X^2+X+1,3)
Results:
(X+4,3,13)

### IABCUV

Type:
Command
Description:
Returns a solution in integers u and v of au + bv = c, where a, b, and c are integers.
Arithmetic, !Þ
Access:
Input:
Level 3/Argument 1: the value of a.
Level 2/Argument 2: the value of b.
Level 1/Argument 3: the value of c.
Output:
Level 2/Item 1: The value for u.
Level 1/Item 2: The value for v.
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 a solution in integers of the equation:
6a + 11b = 3
Command:
IABCUV(6,11,3)
Result:
{6,-3}
ABCUV, IEGCD

### IBASIS

Type:
Command
4-38 Computer Algebra Commands
L
POLY
1
INTEGER