HP 48gII Graphing Calculator Bedienungsanleitung PDF herunterladen (Seite 210)

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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:

‚Ï˜˜@@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:

‚Ï˜˜@@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.

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