Polynomial Root Finder
Polynomial Root Finder App - Introduction To
The Polynomial Root Finder app calculates the roots (zeros) of polynomials of degree 1 through 10, with a convenient, easy to use interface. You can enter the coefficients of a polynomial to solve, store solutions into lists, load lists into the Polynomial Root Finder App as coefficients, and store the polynomial to a Y-Var to graph after quitting the Polynomial Root Finder App.
For an introduction to the Polynomial Root Finder App, see the examples below.
Determining roots of polynomials
1. Select the Polynomial Root Finder App icon
.
2. The SETUP window is visible.
3. The following information shows the SETUP.
Polynomial Root Finder Setup| Order | Set from 1 to 10. |
| Real / a+bi / re^θi |
Real mode does not display complex results. If you select this mode setting and the answer is complex, the result displays as NONREAL. a+bi (rectangular complex) mode displays complex numbers in the form a+bi. You may need to press › to display all the complex number. re^θi (polar complex) mode displays complex numbers in the form of re^θi. You may need to press › to display all the complex number. |
| Auto / Dec | AUTO displays answers in a similar format as the input. DEC displays answers as integers or decimal numbers. |
| Normal / Sci / Eng | Set the notation mode to Normal, Scientific, or Engineering. |
| Float | Float (floating) decimal mode displays up to 10 digits, plus the sign and decimal. |
| Radian / Degree | Interpret angle values and display answers in radians or degrees. |
Example: y=7x^2 - 34x +24
4. Select the degree of the polynomial as ORDER 2.
5. Select NEXT by pressing h. Enter the coefficients of 7x^2 - 34x + 24.
6. Select SOLVE by pressing h to calculate and display the roots. Two answers, x1 = \(11/2\) and x2 = 4, display.
Note: The toggle ^ will change between decimal and fraction if possible.
Displaying Complex Roots of a polynomial
Complex roots of polynomials can be shown by setting the mode to complex and then solving.
From Mode Setting
a+bi (rectangular complex) mode displays Complex numbers in the form a+bi. You may need to press the right arrow key › to display all the Complex number.
re^qi (polar complex) mode displays Complex numbers in the form of reqi. You may need to press the right arrow key › to display all the Complex number.
Example: y=x^3 -11/2 x^2 +10x + 13/2
Note: The toggle ^ will change between decimal and fraction if possible.