Examples of C part 46 calculate polynomial equation

Program :

#include<stdio.h>
#include<math.h>
main()
{
float x,sum=0;
int order,i;
printf("Value of x\n");
scanf("%f",&x);
printf("Enter order of polynomial\n");
scanf("%d",&order);
float coefficient[order];


for(i=0;i<=order;i++)
{
 printf("Enter coefficients of polynomial at x^%d\n",i);
  scanf("%f",&coefficient[i]);
}
  for(i=0;i<=order;i++)
  {
   sum+=coefficient[i]*pow(x,i);
  }

  for(i=order;i>=0;i--)
  {
   if(i>0)
   printf("%.2fx^%d+",coefficient[i],i);
   else
   printf("%.2fx^%d=",coefficient[i],i);
  }
  printf("%.2f\n",sum);
}

Output:
Value of x
3
Enter order of polynomial
4
Enter coefficients of polynomial at x^0
1
Enter coefficients of polynomial at x^1
2
Enter coefficients of polynomial at x^2
5
Enter coefficients of polynomial at x^3
3.5
Enter coefficients of polynomial at x^4
3
3.00x^4+3.50x^3+5.00x^2+2.00x^1+1.00x^0=389.50Explanation:
Polynomial equation depends on order.For Ex. Order is 4.
Formula is: a4*x^4+a3*x^3+a2*x^2+a1*x^1+ a0*x^0

1. Variables used
   • x → To store input from user
   • order →To store the order of polynomial
   • sum → To store output
   • coefficient → To store coefficients like a1,a2...

2. printf("Value of x\n");
   scanf("%f",&x);
   printf("Enter order of polynomial\n");
   scanf("%d",&order);
   float coefficient[order];
   

   Taking input from user

3. for(i=0;i<=order;i++)
   {
    printf("Enter coefficients of polynomial at x^%d\n",i);
     scanf("%f",&coefficient[i]);
   }

   This loop is used to take coeffiecients one by one.As it iterates from 0 to order(say 4).So it takes coefficients of coefficients[0](i.e. a0)....to a4

4. for(i=0;i<=order;i++)
     {
      sum+=coefficient[i]*pow(x,i);
     }
    

   Now the loop iterates from 0 to 4 and sum=sum+coefficient[i]*x^i. which is equal to sum=sum+coefficient[0]*x^0+coefficient[1]*x^1+coefficient[2]*x^2+coefficient[3]*x^3+ coefficient[4]*x^4.As i traverse from 0 to 4

5. for(i=order;i>=0;i--)
     {
      if(i>0)
      printf("%.2fx^%d+",coefficient[i],i);
      else
      printf("%.2fx^%d=",coefficient[i],i);
     }
     printf("%.2f\n",sum);

   Here i will traverse from order to 0 which means 4 to 0. If i>0 then + symbol is added at the end of the coefficient i.e. coefficient*x^i+.
   Else it won't add + at the end.
6. And finally sum will be printed after = symbol