HP 50G

Page 6-30
This function produces the coefficients [a
n
, a
n-1
, … , a
2
, a
1
, a
0
] of a
polynomial a
n
x
n
+ a
n-1
x
n-1
+ … + a
2
x
2
+ a
1
x + a
0
, given a vector of its roots
[r
1
, r
2
, …, r
n
]. For example, a vector whose roots are given by
[-1, 2, 2, 1, 0], will produce the following coefficients: [1, -4, 3, 4, -4, 0]. The
polynomial is x
5
- 4x
4
+ 3x
3
+ 4x
2
- 4x.
Function PEVAL
This function evaluates a polynomial, given a vector of its coefficients, [a
n
, a
n-1
,
… , a
2
, a
1
, a
0
], and a value x
0
, i.e., PEVAL calculates a
n
x
0
n
+ a
n-1
x
0
n-1
+ …
+ a
2
x
0
2
+ a
1
x
0
+ a
0
. For example, for coefficients [2, 3, -1, 2] and a value of
2, PEVAL returns the value 28.
The SYS sub-menu
The SYS sub-menu contains a listing of functions used to solve linear systems.
The functions listed in this sub-menu are:
These functions are presented in detail in Chapter 11.
The TVM sub-menu
The TVM sub-menu contains functions for calculating Time Value of Money. This
is an alternative way to solve FINANCE problems (see Chapter 6). The
functions available are shown next:
The SOLVR sub-menu
The SOLVR sub-menu in the TVM sub-menu will launch the solver for solving
TVM problems. For example, pressing @)SOLVR, at this point, will trigger the
following screen:
As an exercise, try using the values n = 10, I%YR = 5.6, PV = 10000, and FV
= 0, and enter „[ PMT ] to find PMT = -1021.08…. Pressing L, produces
the following screen: