Page 6-9
To generate the algebraic expression using the roots, try the following
example. Assume that the polynomial roots are [1,3,-2,1]. Use the following
keystrokes:
‚Ϙ˜
@@OK@@
Select Solve poly…
˜„Ô1‚í3
Enter vector of roots
‚í2\‚í 1
@@OK@@
˜
@SYMB@
Generate
symbolic
expression
`
Return
to
stack.
The expression thus generated is shown in the stack as:'
(X-1)*(X-3)*(X+2)*(X-1)
'.
To expand the products, you can use the EXPAND command. The resulting
expression is: '
X^4+-3*X^3+ -3*X^2+11*X-6'
.
A different approach to obtaining an expression for the polynomial is to
generate the coefficients first, then generate the algebraic expression with the
coefficients highlighted. For example, for this case try:
‚Ϙ˜
@@OK@@
Select Solve poly…
˜„Ô1‚í3
Enter vector of roots
‚í2\‚í 1
@@OK@@
@SOLVE@
Solve for coefficients
˜
@SYMB@
Generate
symbolic
expression
`
Return
to
stack.
The expression thus generated is shown in the stack as: '
X^4+-3*X^3+ -
3*X^2+11*X+-6*X^0'
. The coefficients are listed in stack level 2.
Financial calculations
The calculations in item
5. Solve finance..
in the Numerical Solver (
NUM.SLV
)
are used for calculations of time value of money of interest in the discipline of
engineering economics and other financial applications. This application can
also be started by using the keystroke combination
„sÒ
(associated
with the
9
key). Before discussing in detail the operation of this solving
environment, we present some definitions needed to understand financial
operations in the calculator.
