Polynomial Operations using Operator overloading

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//developer:rushikesh sanjay palke
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/*Implement a class Quadratic that represents    two degree polynomials i.e.,  polynomials of type ax2+bx+c.
Your class will require three data member corresponding to a, b and c.
Implement the following operations:
1.A constructor(including a default constructor which creates the 0 polynomial).
2.Overloaded operator+ to add two polynomials of degree 2.
3.Overloaded << and >> to print and read polynomials.
To do this, you will need to decide what you want your input and output format to look like.
4.A function eval that computes the value of a polynomial for a given value of x.
5.A function that computes the two solutions of the equation ax 2 +bx+c=0
*/


#include<iostream>
#include<cmath>
using namespace std;
class polynomial
{ int a,b,c;
public:
polynomial() //default constructor
{
a=0;
b=0;
c=0;

        }
        polynomial(int x,int y,int z) //parameterized constructor
        { a=x;b=y;c=z;    
     
        }


friend istream &operator >> (istream &IN, polynomial &T) //operator >> overloaded
{
IN>>T.a>>T.b>>T.c;
return IN;
}
friend ostream &operator << (ostream &OUT, polynomial &T) //operator << overloaded
{
OUT<<T.a<<"x^2+"<<T.b<<"x+"<<T.c;
return OUT;
}

polynomial operator +(polynomial T) //opeartor + overloaded
{
polynomial R;
R.a=a+T.a;
R.b=b+T.b;
R.c=c+T.c;
return R;
}
void eval(polynomial T,int x) //eval fn to evaluate the polynomial for given value of x
       {int z;
        z=T.a*x*x+T.b*x+T.c;
        cout<<" for x ="<<x<<" is :"<<z<<"\n";
       }
     
       void compute(polynomial T) //compute fn to find roots of polynomial
       {
       float x,y1,y2;
       x= T.b*T.b-4*T.a*T.c;
       if(x>0)
       {
       cout<<"Roots are real & not equal\n";
       y1 = (-T.b+sqrt(x))/(2*T.a);
       y2 = (-T.b-sqrt(x))/(2*T.a);
       cout<<y1<<"\n";
       cout<<y2<<"\n";
       }
       else if(x==0)
       {cout<<"roots are real & equal\n";
       y1= -T.a/(2*T.a);
       cout<<y1<<"\n";
       }
       else if(x<0)
       {
       cout<<"complex Roots\n";

       }


       }
};
int main()
{
int x,ch;
char p;
polynomial s1(5,6,10),s2,s3;
                        do
                        {
                        cout<<"######################MENU##################\n";
                        cout<<"1]display default polynomial\n";
                        cout<<"2]accept & display polynomial\n";
                        cout<<"3]add two polynomial\n";
                        cout<<"4]find f(x) for given x\n";
                        cout<<"5]find roots of give polynomial\n";
                        cout<<"enter your choise\n";
                        cin>>ch;
                        switch(ch)
                        {
                        case 1:
                        cout<<"display stored polynomial\n";
cout<<s1<<endl;
                        break;
                     
                        case 2:
cout<<"accept & display\n";
cout<<"enter the  polynomial :";
cin>>s2;
cout<<s2<<endl;
                        break;
                     
                        case 3:
                        cout<<"addition of two polynomials\n";
                        cout<<"enter the 1st polynomial :";
cin>>s1;
                        cout<<s1<<endl;
                        cout<<"enter the 2nd polynoimial:";
                        cin>>s2;
                        cout<<s2<<endl;
                        s3=s1+s2;
                        cout<<"addition is:";
cout<<s3<<endl;
                        break;
                 
                        case 4:
                        cout<<"calculate f(X) fo hiven x\n";
                        cout<<"enter the polynomial :";
cin>>s1;
cout<<"enter the value for x = ";
cin>>x;
s2.eval(s1,x);
                        break;

                        case 5:
                        cout<<"find roots of polynomial\n";
                        cout<<"enter the polynomial :";
cin>>s2;
                        s2.compute(s2);
                        break;
                        }
                        cout<<"do you want to continue(y/n)";
                        cin>>p;

                       }while(p=='y'||P=='Y');
                cout<<"goodby have a nice day\n";
               return 0;
}

/*
output:

######################MENU##################
1]display default polynomial
2]accept & display polynomial
3]add two polynomial
4]find f(x) for given x
5]find roots of give polynomial
enter your choise
1
display stored polynomial
5x^2+6x+10
do you want to continue(y/n)y
######################MENU##################
1]display default polynomial
2]accept & display polynomial
3]add two polynomial
4]find f(x) for given x
5]find roots of give polynomial
enter your choise
2
accept & display
enter the  polynomial :1 2 3
1x^2+2x+3
do you want to continue(y/n)y
######################MENU##################
1]display default polynomial
2]accept & display polynomial
3]add two polynomial
4]find f(x) for given x
5]find roots of give polynomial
enter your choise
3
addition of two polynomials
enter the 1st polynomial :1 2 3
1x^2+2x+3
enter the 2nd polynoimial:10 20 30
10x^2+20x+30
addition is:11x^2+22x+33do you want to continue(y/n)y
######################MENU##################
1]display default polynomial
2]accept & display polynomial
3]add two polynomial
4]find f(x) for given x
5]find roots of give polynomial
enter your choise
4
calculate f(X) fo hiven x
enter the polynomial :1 2 3
enter thevalue for x = 1
 for x =1 is :6
do you want to continue(y/n)y
######################MENU##################
1]display default polynomial
2]accept & display polynomial
3]add two polynomial
4]find f(x) for given x
5]find roots of give polynomial
enter your choise
5
find roots of polynomial
enter the polynomial :1 2 3
complex Roots
do you want to continue(y/n)n

*/