# The Sys Sub-menu; The Tvm Sub-menu - HP 49g+ User Manual

Graphing calculator.

Function PROOT
This function is used to find the roots of a polynomial given a vector
containing the polynomial coefficients in decreasing order of the powers of
the independent variable. In other words, if the polynomial is a
2
+ ... + a
x
+ a
x + a
, the vector of coefficients should be entered as [a
2
1
0
, ... , a
, a
, a
]. For example, the roots of the polynomial whose
1
2
1
0
coefficients are [1, -5, 6] are [2, 3].
Function PCOEF
This function produces the coefficients [a
n
n-1
polynomial a
x
+ a
x
n
n-1
[r
, r
, ..., r
]. For example, a vector whose roots are given by
1
2
n
[-1, 2, 2, 1, 0], will produce the following coefficients: [1, -4, 3, 4, -4, 0].
5
The polynomial is x
- 4x
Function PEVAL
This function evaluates a polynomial, given a vector of its coefficients, [a
, ... , a
, a
, a
], and a value x
1
2
1
0
2
+ a
x
+ a
x
+ a
. For example, for coefficients [2, 3, -1, 2] and a value of
2
0
1
0
0
2, PEVAL returns the value 28.

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 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:
, a
, ... , a
n
n-1
2
+ ... + a
x
+ a
x + a
2
1
0
4
3
2
+ 3x
+ 4x
- 4x.
, i.e., PEVAL calculates a
0
n
x
+ a
n
n-1
, a
, a
] of a
2
1
0
, given a vector of its roots
n
n-1
x
+ a
x
n
0
n-1
0
Page 6-31
n-1
x
, a
n
n-
, a
n
n-
+ ...