Implement the Quadratic class, which represents polynomials of the second degree, i.e. polynomials of the type ax2+bx+c. The class will require three data members corresponding to a, b, and c. Implement the following operations: 1. A constructor (including a default constructor that creates a polynomial of 0). 2. Overloaded operator+ for adding two polynomials of degree 2. 3. Overloaded << and >> for printing and reading polynomials. To do this, you'll need to decide what you want your input and output format to look like. 4. The eval function, which calculates the value of a polynomial for a given value of x. 5. A function that calculates two solutions of the equation ax2+bx+c=0.

Implement a class Quadratic that represents degree two polynomials i.e., polynomials of type
ax2+bx+c. The class will require three data members 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 ax2+bx+c=0.

OUTPUT FOR THE PROGRAM

#include<iostream>
#include<cmath>
using namespace std;
class polynomial
{
int a,b,c;
public:
polynomial()
{
a=b=c=0;
}
polynomial(int x,int y,int z)
{
a=x;
b=y;
c=z;
}
polynomial operator +(polynomial T)
{
polynomial R;
R.a=a+T.a;
R.b=b+T.b;
R.c=c+T.c;
return R;
}
friend istream &operator >>(istream &IN,polynomial &T)
{
IN>>T.a>>T.b>>T.c;
return IN;
}
friend ostream &operator <<(ostream &OUT,polynomial &T)
{
OUT<<T.a<<"x^2+"<<T.b<<"x+"<<T.c;
return OUT;
}
void eval(polynomial T,int x)
{
int eval;
eval=T.a*x*x+T.b*x+T.c;
cout<<"\nEvaluation is: "<<eval;
}
void compute(polynomial T)
{
int x,r1,r2;
x=T.b*T.b-4*T.a*T.c;
if(x<0)
{
cout<<"\nRoots are real & distinct";
r1=-T.b+sqrt(x)/2*T.a;
r2=-T.b-sqrt(x)/2*T.a;
cout<<"\nRoots are: "<<r1 <<"&"<<r2;
}
else if(x=0)
{
cout<<"\nRoots are real & same";
r1=-T.b/2*T.a;
cout<<"\nRoots are: "<<r1 <<"&"<<r1;
}
else
cout<<"\nRoots are complex";
}
};
int main()
{
int choice,x;
char con;
polynomial s1(1,2,3),s2,s3;
do
{
cout<<"1)Default constructor\n2)accept & display polynomial\n3)add two polynomial\n4)find f(x) for given x\n5)find roots of given polynomial";
cout<<"\nEnter the choice: ";
cin>>choice;
switch(choice)
{
case 1:
{
cout<<s1<<endl;
break;
}
case 2:
{
cout<<"\nEnter the polynomial: ";
cin>>s2;
cout<<s2<<endl;
break;
}
case 3:
{
cout<<"\nEnter 1st Polynomial: ";
cin>>s1;
cout<<"\nEnter 2nd Polynomial: ";
cin>>s2;
s3=s1+s2;
cout<<s3<<endl;
break;
}
case 4:
{
cout<<"\nEnter the polynomial: ";
cin>>s1;
cout<<"\nEnter the value of x: ";
cin>>x;
s1.eval(s1,x);
break;
}
case 5:
{
cout<<"\nEnter the polynomial: ";
cin>>s1;
s1.compute(s1);
break;
}
}
cout<<"\nDo you want to continue(y/n): ";
cin>>con;
}
while(con!='n');
return 0;
}