**Write a program in C language to add two Polynomials.**

**Below is a picture which shows the working of the addition of two polynomials.**

**Implementation of the above problem:***#include<stdio.h>*

*void main()*

*{*

*int c1[10],e1[10],c2[10],e2[10],i,rc[20],re[20],n,m,k,l,j;*

*clrscr();*

*printf("Enter the highest index of 1st Polynomial : ");*

*scanf("%d",&n);*

*for(i=n;i>=0;i--)*

*{*

*printf("Enter the coefficient of x^%d : ",i);*

*scanf("%d",&c1[i]); e1[i]=i;*

*}*

*printf("Enter the highest index of 2nd Polynomial : ");*

*scanf("%d",&m);*

*for(i=m;i>=0;i--)*

*{*

*printf("Enter the coefficient of x^%d : ",i);*

*scanf("%d",&c2[i]); e2[i]=i;*

*}*

*printf("\nThe first Polynomial is : \n");*

*for(i=n;i>=0;i--)*

*{*

*printf("%d x^%d",c1[i],e1[i]);*

*if(i>0) printf(" + ");*

*}*

*printf("\nThe second Polynomial is : \n");*

*for(i=m;i>=0;i--)*

*{*

*printf("%d x^%d",c2[i],e2[i]);*

*if(i>0) printf(" + ");*

*}*

*k=n; l=m; j=0;*

*while(k>=0 && l>=0)*

*{*

*if(k>=0 || l>=0)*

*{*

*if(e1[k]==e2[l])*

*{*

*rc[j]=c1[k]+c2[l]; re[j]=e1[k];*

*j=j+1; k=k-1; l=l-1;*

*}*

*else if(e1[k]>e2[l])*

*{*

*rc[j]=c1[k]; re[j]=e1[k]; j=j+1; k=k-1;*

*}*

*else if(e1[k]<e2[l])*

*{*

*rc[j]=c2[l]; re[j]=e2[l]; j=j+1; l=l-1;*

*}*

*}*

*else if (k==0 && l>0)*

*{*

*rc[j]=c2[l]; re[j]=e2[l]; j=j+1; l=l-1;*

*}*

*else if(k>0 && l==0)*

*{*

*rc[j]=c1[k]; re[j]=e1[k]; j=j+1; k=k-1;*

*}*

*}*

*printf("\nThe Sum of the two Polynomials is : \n");*

*j=j-1;*

*for(i=0;i<=j;i++)*

*{*

*printf("%d x^%d",rc[i],re[i]);*

*if(i<j) printf(" + ");*

*}*

*getch();*

*}*

**Thanks**

**Mukesh Rajput**
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Thanks

Mukesh Rajput