Hello. I need to create a program to manipulate polynomials. It contains basic evaluation, addition, subtraction and multiplication of polynomials. Right now, I'm working on overloading the '+' operator to add two polynomials. While the function adds the two polynomials together correctly, when it goes to output through the overloaded '<<' operator, it always produces the following output:

What could be wrong? I tested the '<<' overload within the '+' operator and it outputs the two polynomials added correctly.

Below is my code:

Polynomial header:

```
#include <iostream>
using namespace std;
class Polynomial
{
friend ostream& operator<<(ostream&, const Polynomial&);
friend double operator+ (const double constant, const Polynomial& polynomial);
friend double operator- (const double constant, const Polynomial& polynomial);
friend double operator*(const double constant, const Polynomial& polynomial);
private:
double *poly;
int size;
public:
double getCoeff(int exponent);
double evaluate(double x);
const Polynomial& operator=(const Polynomial&);
Polynomial operator+(const Polynomial& polynomial) const;
Polynomial operator+(const double constant) const;
Polynomial operator-(const Polynomial& polynomial) const;
Polynomial operator-(const double constant) const;
Polynomial operator*(const Polynomial& polynomial) const;
Polynomial operator*(const double constant) const;
Polynomial (int in_size, double in_poly[]);
Polynomial();
~Polynomial();
};
```

Polynomial Implementation:

```
#include "stdafx.h"
#include <iostream>
#include <cmath>
#include "Polynomial.h"
using namespace std;
double Polynomial::evaluate(double x)
{
double result = 0;
for (int i = 1; i < size; i++)
{
result += pow(x,i)*poly[i];
}
result += poly[0];
return result;
}
double Polynomial::getCoeff(int exponent)
{
return poly[exponent];
}
const Polynomial& Polynomial::operator=(const Polynomial& polynomial)
{
if (this != &polynomial)
{
delete [] poly;
size = polynomial.size;
poly = new double[size];
for (int i = 0; i < size; i++)
poly[i] = polynomial.poly[i];
}
return *this;
}
Polynomial Polynomial::operator+(const Polynomial& polynomial) const
{
Polynomial tempPoly;
if (polynomial.size > size)
{
tempPoly.poly = new double[polynomial.size];
tempPoly.size = polynomial.size;
}
else
{
tempPoly.poly = new double[size];
tempPoly.size = size;
}
for (int i = 0; i < tempPoly.size; i++)
{
tempPoly.poly[i] = poly[i] + polynomial.poly[i];
}
return tempPoly;
}
ostream& operator<<(ostream& out, const Polynomial& p)
{
for (int i = p.size - 1; i >= 0; i--)
if (i ==0 && p.poly[i] < 0)
out<<" - "<<abs(p.poly[i])<<"x";
else if (i == 0 && p.poly[i] >= 0)
out<<" + "<<p.poly[i]<<"x";
else if(i < p.size-1 && p.poly[i] < 0)
out<<" - "<<abs(p.poly[i])<<"x^"<<i;
else if(i < p.size-1 && p.poly[i] >= 0)
out<<" + "<<p.poly[i]<<"x^"<<i;
else
out<<p.poly[i]<<"x^"<<i;
out<<'\n';
return out;
}
Polynomial::Polynomial (int in_size, double in_poly[])
{
size = in_size;
poly = new double [size];
for (int i = 0; i < size; i++)
{
poly[i] = in_poly[i];
}
}
Polynomial::~Polynomial()
{
delete [] poly;
}
Polynomial::Polynomial()
{
poly = new double [3];
size = 3;
for (int i = 0; i < size; i++)
{
poly[i] = 1;
}
}
```

And the driver:

```
// Final Project.cpp : Defines the entry point for the console application.
//
#include "stdafx.h"
#include "Polynomial.h"
#include <iostream>
using namespace std;
typedef double Array[];
int _tmain(int argc, _TCHAR* argv[])
{
Polynomial p;
Polynomial q;
cout<<p+q;
cin.get();
return 0;
}
```