# Program to find the value of the polynomial f(x)=a4x4+a3x3+a2x2+a1x+a0 using Horner’s method

Here is the program to find the value of the polynomial f(x)=a4x^4+a3x^3+a2x^2+a1^x+a0 using Horner’s method

```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 #include "stdio.h" #include "conio.h" void main() { float a,sum=0,x; int n,i; clrscr(); printf("Enter the degree of the polynomial:"); scanf("%d",&n); printf("Enter the coefficients into the array:"); for(i=n;i>=0;i--) { scanf("%f",&a[i]); } printf("Enter the value of x:"); scanf("%f",&x); for(i=n;i>0;i--) { sum=(sum+a[i])*x; } sum=sum+a; printf("\nValue of the polynomial is =%f",sum); getch(); }```

Consider the polynomial 3x^4+2x^3+x^2+x+2 where x=2, then the output will be as follows,
Output:

```Enter the degree of the polynomial: 4 Enter the coefficients into the array: 3 2 1 1 2 Enter the value of x: 2 Value of the polynomial is:72.000000```

### 6 Responses to “Program to find the value of the polynomial f(x)=a4x4+a3x3+a2x2+a1x+a0 using Horner’s method”

1. Can you explain how to add 2 polynomials using arrays.

2. shahrukh

m not getting the output in code blocks. kindly help me.

3. I can’t understand the 21st line … Can anyone explain that line meaning ?

• Sreenath M

We need to add the constant term A0, so once we come out of the loop… We need to add it separately…

4. Hi there I am so glad I found your web site, I really found
you by mistake, while I was searching on Yahoo for something else, Anyhow
I am here now and would just like to say cheers for a marvelous post and a all round interesting blog (I also love the theme/design), I don’t have
time to go through it all at the minute but I have book-marked it and also added in your RSS feeds, so
when I have time I will be back to read much more, Please do keep
up the fantastic jo.

5. I always spent my half an hour to read this website’s content everyday along with a mug of coffee.

##### More from Number Programs
###### Program to find the sum of the sine series ### Research Papers ### Projects 