Hp 48g Graphing Calculator Manual de usuario descargar pdf (Pagina 216)

100

101

Finding All Roots of a Polynomial

A symbolic polynomial, such as x.'^ + ix'^ — 7x + 9, can also be

expressed as a vector of its coefficients: [14—79]. In this vector

form, very efficient numeric techniques can be applied to find a vector

of its roots.

To use the polynomial roc

■ Press fi^fSOLVE) (5 (T]

■ finder:

to display the following:

i SOLVE

COEFFICIENTS t UN fll AO ]:

ROOTS:

ENTER COEFFICIENTS OR PRESS SOLVE

ifaiiBiimiiiiiiiiiBiMiiaysiaHnTO

To find all roots ilynomial:

1. Open the polynomial root-finder.

2. Move the highlight to the CuEFFI

;3 field, if necessary.

3. Enter the polynomial in coefficient form. Use either the command

line (don’t forget the C ] delimiters)or the MatrixWriter. Note

that the first element in the vector should be the coefficient of the

highest order term and the last element should be the constant

term. Remember to include zeroes wherever “missing” terms are

located in the polynomial.

4. With the highlight located in the FiOuTS" field, press SOLVE. A

complex array of roots is displayed in the FiUUTS” field and a

labeled copy sent to the stack.

To find a polynomial, given a set of roots:

1. Open the polynomial root-finder.

2. Move the highlight to the ROOTS!! field, if necessary.

3. Enter the set of roots as a vector. Remember that if any of the

roots are complex, then you must enter ail roots as complex (real

roots are entered as < real, B )).

4. Move the highlight to the COEFFICIENTS field and press SOLVE

18-10 Solving Equations

1 2 ... 211 212 213 214 215 216 217 218 219 220 221 ... 611 612

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Hp 48g Graphing Calculator Manual de usuario Pagina 216

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