Functional Equations - Polynomials
This wiki is incomplete.
This wiki page is under construction. Please ignore the rush.
The objective of this wiki page is to build the problem-solving skills of the functional equations of polynomials. The targeted audience for the page is level 3-4.
Contents
Introduction and Terminology
Terms used and basic introduction of functional equations of polynomials (can take help from Functional equations wiki page)
Give 1-2 basic examples explaining the solutions in details
1 TIY similar to the above examples
Functional Equations - Second Degree Polynomials
This section includes the functional equations of second degree polynomials:
Give examples of the functional equations which are satisfied only by quadratic polynomials.
Generalization of the above functional equations (if possible)
2-3 TIY problems of functional equations of second degree polynomials.
Other Types of Polynomial Functional Equations
Functional equations of linear polynomials (introduction, examples, try yourself problems)
Functional equations of polynomials of degree greater than 2. (introduction, examples, try yourself problems)
Solved Examples
- 4-5 solved examples of functional equations of polynomial functions.
Problem Solving
- 4-5 TIY problems of functional equations of polynomial functions.