Discuss the representation of polynomial of Singlevariable using Linked List

To represent a polynomial of a single variable using a linked list, we can follow these steps:

1. Define a structure for each term of the polynomial. This structure should contain two fields: one for the coefficient of the term and another for the exponent of the variable.

2. Create a linked list data structure to store the polynomial. Each node of the linked list will represent a term of the polynomial.

3. Initialize an empty linked list to represent the polynomial.

4. Read the polynomial expression from the user or from a file. The expression should be in the form of "ax^n + bx^(n-1) + ... + cx + d", where 'a', 'b', 'c', 'd' are the coefficients and 'n' is the highest exponent.

5. Parse the polynomial expression and extract the coefficients and exponents of each term.

6. Create a new node for each term and assign the coefficient and exponent values to the corresponding fields of the node.

7. Insert each new node at the end of the linked list, maintaining the order of the terms based on their exponents.

8. Repeat steps 6 and 7 for each term in the polynomial expression.

9. Once all the terms have been inserted into the linked list, the representation of the polynomial is complete.

10. You can now perform various operations on the polynomial, such as addition, subtraction, multiplication, and evaluation.

By using a linked list to represent a polynomial, we can easily manipulate and perform operations on the polynomial efficiently.