Using C++
Aim : Implementation of Polynomial arithmetic using linked list.
Theory A polynomial is represented as a sum of terms, where each term has a coefficient and an exponent. Using linked lists, we can dynamically store and manipulate polynomials.
🔹 Why Use Linked Lists for Polynomials?
- Dynamic allocation allows efficient memory usage.
- Insertion and deletion operations are simpler compared to arrays.
- Easy representation of sparse polynomials.
📌 Algorithm
1. Representation of Polynomial
- Each term is stored in a node with fields:
coefficient, exponent, and next pointer.
- The polynomial is stored as a linked list in decreasing order of exponents.
2. Polynomial Addition
- Traverse both polynomials simultaneously.
- If exponents match, add coefficients and store in result.
- If one exponent is greater, add that term to the result.
- Continue until both lists are exhausted.
Program :
Conclusion : Hence we have performed our
practical successfully