HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 93

Generating an algebraic expression for the polynomial You can use the calculator to generate an algebraic expression for a polynomial given the coefficients or the roots of the polynomial. The resulting expression will be given in terms of the default CAS variable X. To generate the algebraic expression using the coefficients, try the following example. Assume that the polynomial coefficients are [1,5,-2,4]. Use the following keystrokes: ,Ϙ˜ Select Solve poly... „Ô1,í5 Enter vector of coefficients ,í2\,í4@@OK@@-@SYMB@ Generate symbolic expression ` Return to stack. The expression thus generated is shown in the stack as: 'X^3+5*X^2+2*X+4' 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\,í1@@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'. 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 „Ò (associated with the 9 key). Detailed explanations of these types of calculations are presented in Chapter 6 of the calculator's user's guide. Page 6-8