Develop class Polynomial. The internal representation of a Polynomial is an array or vector of terms. Each term contains a coefficient and an exponent, e.g., the term

2x4 has the coefficient 2 and the exponent 4. Develop a complete class containing proper constructor and destructor functions as well as set and get functions. The class should also provide the following overloaded operator capabilities:

a. Overload the addition operator (+) to add two Polynomials.

b. Overload the subtraction operator (-) to subtract two Polynomials.

c. Overload the assignment operator (=) to assign one Polynomial to another.

d. Overload the addition assignment operator (+=).

e. Overload the subtraction assignment operator (-=).

Beyond overloading these operators, the code in the polynomial_app.cpp will give you an idea of what member functions you need to implement in the Polynomial class.

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main.cpp code that should not modify

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#include

#include "Polynomial.h"

using namespace std;

int main()

{

Polynomial a, b, c, t;

a. enterTerms();

b. enterTerms();

t = a; // save the value of a

cout

a. printPolynomial();

cout

b. printPolynomial();

cout

c = a + b;

c. printPolynomial();

cout

a += b;

a. printPolynomial();

cout

a = t; // reset a to original value

c = a - b;

c.printPolynomial();

cout

a -= b;

a. printPolynomial();

cout

system("PAUSE"); //remove this if you are not using windows

return 0;

} // end main

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Sample run

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sample run 2

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Enter number of polynomial terms: 5 Enter coefficient: 1 Enter exponent: 4 Enter coefficient: 2 Enter exponent: 3 Enter coefficient: 3 Enter exponent: 2 Enter coefficient: 4 Enter exponent: 1 Enter coefficient: 5 Enter exponent: 0 Enter number of polynomial terms: 4 Enter coefficient: 5 Enter exponent: 4 Enter coefficient: 4 Enter exponent: 3 Enter coefficient: 3 Enter exponent: 2 Enter coefficient: 2 Enter exponent: 1