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Page 6-6
with examples for the numerical solver applications. Item 6. MSLV
(Multiple equation SoLVer) will be presented later in
page 6-10.
Polynomial Equations
Using the Solve poly…option in the calculator’s SOLVE environment you
can:
(1) find the solutions to a polynomial equation;
(2) obtain the coefficients of the polynomial having a number of given
roots; and,
(3) obtain an algebraic expression for the polynomial as a function of X.
Finding the solutions to a polynomial equation
A polynomial equation is an equation of the form: an
xn
+ a
n-1
x
n-1
+ …+
a
1x
+ a
0
= 0. For example, solve the equation: 3s
4
+ 2s
3
- s + 1 = 0.
We want to place the coefficients of the equation in a vector:
[3,2,0,-1,1]. To solve for this polynomial equation using the calculator, try
the following:
The screen will show the solution as follows:
Notes:
1. Whenever you solve for a value in the NUM.SLV applications, the
value solved for will be placed in the stack. This is useful if you need to
keep that value available for other operations.
2. There will be one or more variables created whenever you activate
some of the applications in the NUM.SLV menu.
‚Ϙ˜@@OK@@ Select Solve poly…
„Ô3‚í2‚í0 Enter vector of coefficients
‚í1\‚í1@@OK@@ @SOLVE@ Solve equation
SG49A.book Page 6 Friday, September 16, 2005 1:31 PM