HP 49g+ - Manual (Page 228)

Page 6-31
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
n
x n + a
n-1
x n-1
+ … + a
2
x 2 + a
1
x + a
0
, the vector of coefficients should be entered as [a
n
, a
n-
1
, … , a
2
, a
1
, a
0
]. For example, the roots of the polynomial whose
coefficients are [1, -5, 6] are [2, 3].
Function PCOEF
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: