## Introduction

This is a complete collection of classes that allows you to easily use polynomials in your programs. The polynomials can be parsed from a string or entered manually as coefficients. Once the polynomial object is constructed, you can do just about anything with it. I have overloaded all the operators I could think of, allowing you to add a string representation of a polynomial to an existing one in the easiest way possible. There are even methods that allow you to draw a polynomial onto graphics or a bitmap (This does mean you will need to reference System. Drawing if you intend to use it in a console app).

Thanks to the simplicity of. Net's xml comments and NDoc3. There is also a help file that can be viewed online, and an offline version is included in the downloads. For additional help, just email me: at [email protected]. It is also highly likely that there will be bugs. If so, please email me. The only thing currently missing is full-length examples (or any example) for the members. I am working on it though, in addition to a few larger projects based around the classes. If you write something that uses this, then please email me with a link so I can have a look.

Contained in the download are the following files.

- Polynomials.dll (the assembly)
- Documentation.chm (the help file)
- ClassLibrary.cs (source code)

**Example**

```
using System;
using Polynomials;
namespace PolynomialTester
{
class Program
{
static void Main(string[] args)
{
// Parse polynomials from strings:
Polynomial p = new Polynomial("x^2+4x-3");
Console.WriteLine("Polynomial: " + p.ToString());
// Operators have been overloaded:
Console.WriteLine(p.ToString() + " + x^3-3x+4 = " + (p + "x^3-2x+4").ToString());
// Assignments as well as standard operators:
p += "x^3-2x+4";
// Access coefficients by their letter:
p['a'] = 3;
// Setting the top value to zero shortens the array by 1.
Console.Write("Before: " + p.MaxIndex.ToString() + ", After: ");
p['a'] = 0;
Console.WriteLine(p.MaxIndex.ToString());
// Solve for real roots
PolynomialPoint[] array = p.Solve();
Console.WriteLine("Real roots of '" + p.ToString() + "' are:");
foreach (PolynomialPoint point in array)
Console.WriteLine(" * " + point.ToString());
Console.WriteLine("----");
Console.ReadLine();
}
}
}
```