Hello I had to do a Polynomial class code, But for some reason my code crash can

Question

Hello I had to do a Polynomial class code, But for some reason my code crash can somebody helps me also multiplication does not work please help

#ifndef POLYNOMIAL_H
#define POLYNOMIAL_H

class Polynomial
{
private:
    int *coefficient;
    int maxExponent;

public:
    Polynomial();//default constructor
    Polynomial(int *); //dummy constructor
    ~Polynomial();//destructor
    Polynomial(const Polynomial &obj);//copy constructor
    int getMaxExponent();
    void setPolynomial();//?should I pass something
    void printPolynomial()const;
    Polynomial Polynomial::operator+(const Polynomial &obj);
    Polynomial Polynomial::operator-(const Polynomial &obj);
    Polynomial Polynomial::operator*(const Polynomial &obj);
    const Polynomial Polynomial::operator=(const Polynomial &obj);

};
#endif

#include <iostream>
#include <cstdlib>
#include <iomanip>
#include "Polynomial.h"
using namespace std;

Polynomial::Polynomial()//default constructor
{
    coefficient = new int[1];
    *coefficient = NULL;
    maxExponent = 0;
}

Polynomial::~Polynomial()//destructor, free memory
{
    delete [] coefficient;
}

Polynomial::Polynomial(const Polynomial &obj)//copy constructor
{
    //delete [] coefficient;
    maxExponent = obj.maxExponent;
    coefficient = new int [maxExponent + 1];//coefficient = new int [maxExponent+1];
    for (int i=0; i <= maxExponent; i++)// <=maxExponent
        *(coefficient + i) = obj.coefficient[i];//*(obj.coefficient + i);
}

int Polynomial::getMaxExponent()
{
    return maxExponent;
}
void Polynomial::setPolynomial()
{
    cout << "Enter highest power for x: ";
    cin >> maxExponent;
    coefficient = new int[maxExponent+1];
    for(int i=maxExponent; i>=0; i--)
    {
        cout << "Enter Co-efficient for " << i << ": ";
        cin >> *(coefficient + i);
        //coefficient[i];
    }
}
//Do I need a getPolynomial
/**
void getPolynomial() const
    {
        for (int i = 0; i < maxExponent; i++)
        {           
            cout << coefficient[i] << "x^" << i;
            if (i != maxExponent - 1)
                cout << " + ";
        }   
    }
**/

void Polynomial::printPolynomial()const
{
    bool termPrinted = false;
    for (int i=0; i<=maxExponent; i++)//<=
    {
        if (coefficient[i]==0);
        else if(!termPrinted)
        {
            if(coefficient[i]!=1)
                cout << coefficient[i];
            cout <<"x^"<< i;
            termPrinted = true;
        }
        else if(coefficient[i]<0)
            cout << " - " << abs(coefficient[i]) << "x^" << i;
        else if(coefficient[i]==1)
            cout << " + x^" << i;
        else
            cout << " + " << coefficient[i] << "x^" << i;
    }
    cout << endl;
}
   
const Polynomial Polynomial::operator=(const Polynomial &obj)
{;
    delete [] coefficient;
    maxExponent = obj.maxExponent;
    coefficient = new int [maxExponent + 1];
    for (int i=0; i<=maxExponent; i++)
        *(coefficient + i) = obj.coefficient[i];//*(obj.coefficient + i);
    return *this;
}

Polynomial Polynomial::operator+(const Polynomial &obj)
{
    Polynomial temp;
    int smallest, largest;
    smallest = (maxExponent > obj.maxExponent) ? obj.maxExponent : maxExponent;
    largest = (maxExponent > obj.maxExponent) ? maxExponent : obj.maxExponent;
    //if (maxExponent == obj.maxExponent)
    //    largest = maxExponent;
    //make coefficient array
    temp.maxExponent = largest;
    temp.coefficient = new int [largest];
    for (int i = 0; i <= smallest; i++)
        temp.coefficient[i] = coefficient[i] + obj.coefficient[i];
    for (int j = smallest+1; j <= largest; j++)
    {
        if (maxExponent > obj.maxExponent)
            temp.coefficient[j] = coefficient[j];
        else
            temp.coefficient[j] = obj.coefficient[j];
    }
    return temp;
}
       
Polynomial Polynomial::operator-(const Polynomial &obj)
{
    Polynomial temp;
    int smallest, largest;
    smallest = (maxExponent > obj.maxExponent) ? obj.maxExponent : maxExponent;
    largest = (maxExponent > obj.maxExponent) ? maxExponent : obj.maxExponent;
    //if (maxExponent == obj.maxExponent)
    //    largest = maxExponent;

    //make coefficient array
    temp.maxExponent = largest;
    temp.coefficient = new int [largest];
    for (int i = 0; i <= smallest; i++)
        temp.coefficient[i] = coefficient[i] - obj.coefficient[i];
    for (int j = smallest+1; j < largest; j++)
    {
        if (maxExponent > obj.maxExponent)
            temp.coefficient[j] = coefficient[j];
        else
            temp.coefficient[j] = obj.coefficient[j];
    }
    return temp;   
}
Polynomial Polynomial::operator*(const Polynomial &obj)
{
    Polynomial temp;

    //make coefficient array
    int count = (maxExponent + obj.maxExponent) - 1;
    temp.maxExponent = count;
    temp.coefficient = new int [count];
    for(int i = 0; i <= maxExponent; i++)
    {
        for(int j = 0; j < obj.maxExponent; j++)
            temp.coefficient[i+j] += coefficient[i] * obj.coefficient[j];
    }
    return temp;
}
#include <iostream>
#include <cstdlib>
#include <cstring>
#include <iomanip>
#include "Polynomial.h"

using namespace std;

int main()
{
   
    //int maxExponent;
    //Polynomial one, two;
   
    cout << "Please enter first Polynomial: ";
    Polynomial one;
    one.setPolynomial();
    one.printPolynomial();
    cout << "Please enter second Polynomial: ";
    Polynomial two;
    two.setPolynomial();
    two.printPolynomial();
   
    int choice;   
    do
    {
        cout << "1. Addition 2. Subtraction 3. Multiplication";
        cout << " 4. Assignment 5. Exit Enter your choice: ";
        cin >> choice;
       
        switch (choice)
        {
            case 1:
            {
                cout << "Addition ";
                Polynomial add;
                add = one + two;
                cout << "   ";
                one.printPolynomial();
                cout << " + ";
                two.printPolynomial();
                cout << " = ";
                add.printPolynomial();   
                cout << endl;
            }
            break;
            case 2:
            {           
                cout << "Subtraction ";
                Polynomial subtract = one - two;
                cout << "   ";
                one.printPolynomial();
                cout << " - ";
                two.printPolynomial();
                cout << " = ";
                subtract.printPolynomial();
                cout << endl;
            }
            break;
            case 3:
            {
                cout << "Multiplication ";
                Polynomial multiply = one * two;
                one.printPolynomial();
                cout << " * (";
                two.printPolynomial();
                cout << ") = ";
                multiply.printPolynomial();
                cout << endl;
            }   
            break;
            case 4:
                cout << "Assignment ";
                cout << "First polynomial: ";
                one.printPolynomial();
                cout << " Second polynomial: ";
                two.printPolynomial();
                cout << " First = Second First polynomial is now: ";
               >                 one.printPolynomial();
                cout << endl;
            break;
            case 5:
                cout << "Goodbye ";
            break;
            default:
                cout << "Invalid choice ";
            break;
        }
    }while (choice != 5);

    system("pause");
    return 0;
}

Explanation / Answer

too long homework dude increase the points

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