I am using an overloading operator to add two polynomials. I have gotten it to work, but I am wondering if I can improve on my if statement by not changing the value of degree for the rest of my program. The if statement is used if the second polynomial is larger then the first so the program will use the larger polynomial for the loop. When I do this it changes degree(the smaller polynomial length) to p.degree(the larger one) for the rest of the program. I am pretty sure this is not good coding. Any tips?

```
Poly Poly:: operator+(const Poly& p)
{
Poly temp;//declare to hold new result
if (degree < p.degree) {
degree=p.degree;//is there another way to do this?
}
for (int i=0; i<degree+1; i++){
temp.coefs[i] =coefs[i] + p.coefs[i];
}
temp.degree = degree;
return temp;
}
```

Here is the entire program

```
#include <iostream>
using namespace std;
#ifndef _POLY_H
#define _POLY_H
const int CAPACITY =100;
class Poly {
public:
Poly();
~Poly();
void display(ostream & out)const;
void input(istream &in);
int evaluate(int x);
Poly operator+(const Poly &p);
Poly operator *(const Poly &p);
private:
int degree;
int coefs[CAPACITY];
};
ostream & operator<<(ostream & out, const Poly & p);
istream & operator>>(istream &in, Poly &p);
#endif
#include "Poly.h"
#include <iostream>
#include <cmath>
using namespace std;
Poly::Poly():degree(0){
for (int i=0; i<CAPACITY; i++) {
coefs[i]=NULL;
}
}
Poly::~Poly(){
}
void Poly::display(ostream &out)const{
for (int i=0; i<degree; i++) {
out<<coefs[i]<<"x^"<<i<<" + ";
}
for (int i=degree; i<degree+1; i++) {
out<<coefs[i]<<"x^"<<i;
}
}
void Poly::input(istream & in){
in>>degree;
for (int i=0; i<degree+1; i++) {
in>>coefs[i];
}
}
int Poly::evaluate(int x){
int sum=0;
double xd = static_cast<double>(x);
double totalPow;
for (int i=0; i<degree+1; i++) {
totalPow =pow(xd, i);
sum+=(coefs[i]*totalPow);
}
return sum;
}
Poly Poly:: operator+(const Poly& p)
{
Poly temp;//declare to hold new result
if (degree < p.degree) {
degree=p.degree;
}
for (int i=0; i<degree+1; i++){
temp.coefs[i] =coefs[i] + p.coefs[i];
}
temp.degree = degree;
return temp;
}
Poly Poly:: operator*(const Poly& p)
{
Poly temp;//declare to hold new result
for (int i=0; i<degree+1; i++){
temp.coefs[i] =coefs[i] * p.coefs[i];//I don't know what to do here to add the exponents of the coefficients. This is also where I get zero after the shorter polynomial ends.
}
temp.degree = degree;
return temp;
}
istream & operator>>(istream & in, Poly &p){
p.input(in);
return in;
}
ostream &operator<<(ostream &out, const Poly &p){
p.display(out);
return out;
}
#include <iostream>
#include "Poly.h"
using namespace std;
int main () {
Poly p1, p2, p3, p4;
int x;
cout << "Please enter the number of degrees you want followed by the number of coefficints: ";
cin>>p1;
cout<<endl;
cout << "Please do the same again: ";
cin>>p2;
cout << "P1 = "<<p1<<endl;
cout << "What do you want x to be for P1: ";
cin>>x;
cout << "P1 ="<<p1.evaluate(x)<<endl;
cout <<" P2 = "<<p2<<endl;
p3=p1+p2;
cout << "addition "<<p3<<endl;
p4=p1 *p2;
cout << "time "<<p4<<endl;
return 0;
}
```