We Helped With This C# Programming Homework: Have A Similar One?

Chapter 6 Test – Using methods in C#

Create a class Polynomial, with fields that hold a :

-          a number representing the degree

-          an array holding the coefficients;

Ex: 2x³ + 5x² – 3x + 5

Will be saved in the a boject as          IntDegree = 3              //highest exponent is 3

                                                                   InCoefficient[0] = 5 //the coefficient for x⁰ is 5

                                                            InCoefficient[1] = -3 //the coefficient for x¹ is -3                                            InCoefficient[2] = 5 //the coefficient for x² is 5

                                                                   InCoefficient[3] = 2 //the coefficient for x³ is 2

Your class will:

a)      Create 2 properties for the fields: IntDegree and IntCoefficient (this last oen is an array)

b)      Is your option if you set a limit to the degree or accept any degree;

c)      Create 3 constructors:

o   one takes no parameter. Will create the polynomial “0”

o   one takes only 1 parameter, the degree. Ex Polynomial(3) will create the polynomial: “x³”

o   one takes 2 parameters: one degree and an array of integers. The length of the array must match with the degree. Ex the degree is 3, then the array must have 4 numbers for the 4 coefficients like in the example above

d)      Add an operator +() that adds 2 polynomials (Ex: (2x³ + 5x² – 3x + 5) + (x³) = 3x³ + 5x² – 3x + 5)

e)      Create a ToString() method that returns a string that represents the polynomial. Ex: x³ + 1 will be returned as “x^3 + 1”

f)       Implement the IComparable interface, so that you can use the Array.Sort() method on polynomials (use the following condition: a polynomial is bigger than another polynomial if the degree is higher than the degree of the 2^nd polynomial)

Hint: The polynomial “x³” will be stored as follows:

IntDegree = 3

InCoefficient[0] = 0 //the coefficient for x⁰ is 0

                                                            InCoefficient[1] = 0 //the coefficient for x¹ is 0                                               InCoefficient[2] = 0 //the coefficient for x² is 0

                                                                   InCoefficient[3] = 1 //the coefficient for x³ is 1

Testing your data

Create your own code to test the problem above.

The entire program will be saved as PolynomialDemo.cs.