The Sys Sub-Menu; The Tvm Sub-Menu - HP 48gII User Manual

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

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:
, 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-
+ ...