Write an algorithm and a program in ‘C’ language for addit

Question

Write an algorithm and a program in ‘C’ language for addition of two Polynomials

13 Sep 2024

Answer :

Word Count : 1165

### Algorithm for Addition of Two Polynomials

1. Input Representation:
- Represent polynomials as arrays of coefficients. For a polynomial \( P(x) = a_nx^n + a_{n-1}x^{n-1} + \dots + a_1x + a_0 \), use an array `P[]` where `P[i]` stores the coefficient of \( x^i \).

2. Input the Polynomials:
- Take two polynomials of the form:
- Polynomial 1: \( P1(x) = a_nx^n + a_{n-1}x^{n-1} + \dots + a_1x + a_0 \)
- Polynomial 2: \( P2(x) = b_nx^n + b_{n-1}x^{n-1} + \dots + b_1x + b_0 \)
- Each polynomial is stored in an array, with indices corresponding to the powers of \( x \).

3. Adjust for Different Polynomial Sizes:
- Determine the degree of both polynomials (highest power of \( x \)) and make both arrays of equal length by padding the shorter array with zeros.

4. Add the Polynomials:
- Initialize a new array `sum[]` of the same size as the largest polynomial.
- For each corresponding index in the polynomials, add the coefficients of the same power of \( x \) and store the result in the `sum[]` array.

5. Output the Result:
- Traverse the `sum[]` array and print the result in polynomial form, skipping any terms where the coefficient is zero.

### C Program for Addition of Two Polynomials

```c
#include <stdio.h>
#include <stdlib.h>

// Function to add two polynomials
void addPolynomials(int *poly1, int *poly2, int *sumPoly, int size1, int size2) {
// Find the maximum degree of the two polynomials
int maxSize = (size1 > size2) ? size1 : __________ ___ _________ ___ ___ ____ _________ __________.
_______ ___ ____ _____ _____ _______ _____ ____ _______.
___ _____ ______ ___ _____ _________ _________.
_______ ____ _________ ____ __________ ____ _________ ___ ___ _________.
_____ ______ _____ ________ ________ __________ ____ _______ ________ _______ ______.
___ ___ ________ ______ __________ _____ ____ _____ _________.
___ ___ __________ _________ _________ ______ _______ _______ ______ ______ _________ _________.
___ _________ ________ _____ ___ _________ ___ ___ ____ _________ __________.
__________ ___ ______ _____ ____ ___ __________ ______.
_________ ________ __________ ________ _____ ____ ________ _________ ____ _______ ____.
_________ ________ _____ _______ __________ ________ ______ ___ ______ ____ ______.
________ __________ _________ _____ ______ ________ ______.
_________ ______ _______ ___ ___ ____ ________ ______ ___ ________.
______ ___ ________ _______ _____ _______ ______ ____ _________ ___ ___ ______.
____ ____ _______ _____ _____ ___ ________ ______.
____ _____ ________ ___ ____ _____ __________ __________ ________ ________ ____.
_______ ______ ______ __________ ________ ________ ___ __________ _______ _________ ______ __________.
_________ _____ ________ ___ ________ __________ ________ ______ ______ _______.
_________ _______ ______ ___ ____ _______ _______ ________ ________ _____ ________.
__________ ________ ________ _____ _________ _________ __________ ___.
_________ _______ _________ _______ ___ __________.
_____ ______ ____ _____ ________ _____ ___ ____ _______ ___ _________.
______ _____ _____ ______ ______ ___ ___.
___ __________ __________ _____ ______ __________ ______ ____ _____ _________ ____ _________.
__________ ___ __________ _____ ______.
___ ______ ___ ________ _____ ______ ______.
________ ___ __________ ___ _________ ______ ________ ____ __________.
________ ________ _____ ________ _____.
_______ ________ ____ _______ _________ _________ ________ ___ __________ ___ ___.
____ __________ ________ ____ _______ ________ ________ ______ __________ __________.
_________ ____ _____ ___ ________ ___ __________ ________ _________.
_________ _________ _______ ________ ______ ____ ___.
______ ________ _____ ____ ______ ________ ____ _____ ___.
_________ _________ __________ _______ ___ _______ ______ ___.
__________ ________ ____ _______ _________ ________ ______ __________.
_____ ________ ___ ____ ___ ____ ______.
_____ ________ ____ __________ __________.
___ ___ _________ ___ ______ ________ ___ ___ _______.
__________ ___ ______ ______ _________ _______ _______ __________ ____.
_____ ___ __________ ___ _____ ___ ________ __________ ____ ___.
____ _______ __________ __________ ___ __________ _______ ___ _______ ________ ______ ______.
_______ _________ ______ ________ ____ ____ _____ _________.
________ ________ ____ ____ _____ ____ ____ _____ ______.
_________ ________ _______ _______ _____ _______ ____.
____ ________ ___ ____ __________ __________.
____ _____ _____ _________ ______ ________ __________ _________ _______ _______ _________.
_________ _________ __________ ____ ____ _________ ___.
___ _____ _________ __________ __________ ________.
_________ _______ __________ ______ ______ _____ ___.
__________ ___ ___ _________ ________ _______ __________ __________ ___ ______.
_____ _____ _______ _________ ___ ________ _________ ___ _____ ___ ______ ____.
_______ _________ __________ _____ __________ ____ _______ __________ ____ ________ _____ ______.
_________ ______ _________ ____ __________ _________ ________ _______ ______.
_____ _________ ___ ________ _____ ______ ___.
_____ _____ ______ _________ _____ ____ ______ ___ ______ _______.
_______ ___ ______ _________ ________ ______ ________ _________ _____ _________.
_________ ____ ______ ______ ___ ______ _______ _________ _____ ____ _______ _____.
_______ ________ __________ __________ _____ _______ _____ ____ ______ _________.
_________ ____ ___ _______ _______ ______ ______ _______ ____ _____ ______.
____ ____ ________ _______ ________ ____ _____ ________ ___ ________ __________ _________.
____ ______ _______ _____ _________.
____ _______ __________ _____ ___.
___ ____ ____ __________ ______ ________ ______ _________ _____ _______ __________.
_________ __________ _______ _______ _______.
______ ________ __________ _______ ______ ____.
__________ _____ ____ _______ __________ _________.
___ ___ ________ ______ __________ ______.
________ _____ __________ ____ ______ ________ ______ __________ _______ ___.
_______ ___ ____ ____ ___.
______ _____ ________ ________ _____ __________.
_______ ____ ____ _______ __________.
_____ __________ _________ _____ ___ ________ ___.
_____ ____ ____ _________ _______ ________ _________ _____ ___ _________ _______.
_____ ____ ______ ____ _______ ____ __________.
____ _______ _________ ________ ____.
____ ____ ____ _________ _______ ________ ______ __________ ____ ___ _____ ____.
_____ ____ _________ __________ _____ ____ _________.
____ _________ ________ ______ __________ _________ ___ _________ ___ ______ _____ _________.
_____ ___ ________ ____ ____ _____ ________ ____ _________ ________ ____ ___.
________ ______ ________ _________ _____ __________ ____ ______ ________ _____ ____.
___ _____ _____ __________ ___ _______ __________ ________ ___ ______ _______.
__________ ____ _________ ________ ______ ____ ________.
________ __________ _________ ____ ________ _________ ____ __________.
___ _________ ________ ______ __________ ________.
_________ ____ _________ __________ ____ ___ ________ _________ _______ _______ _____.
_____ _________ _____ _____ _______ ___ ______ _______ _____ _________ _____ _________.
_____ ________ _________ ________ _______ _______ __________ _____ __________ __________.
_____ ______ __________ _________ _________ ___ ________ _______ ____ ________ _____.
______ _________ _______ _________ ________.
_________ ______ _________ _________ _______ _______ ______ _____ ____ ________.
________ ___ ______ _________ ________ _______ _______ ___.
____ _________ _________ ________ ___ _________ _____ _______.
____ _______ ______ _____ __________ ______ ______.
____ _____ ____ _____ ____ _________ ________ _________ _______.
__________ ___ ______ ____ _____ ________.
______ _______ ______ __________ ______ ____ __________.
______ _____ ________ ______ ________ ___ __________ ___ _______ ______.
_________ ________ _________ _________ _________ __________ ________ ______ _______ ___ ___.
________ ____ ________ _____ ________.
_________ _______ __________ _________ _______ ____ _____ _________ _________ _________.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★