Chapter 05.01 Uniqueness of Polynomial Interpolant Part 1 of 2

Background of Interpolation (CHAPTER 05.01)

Uniqueness of an Interpolating of Polynomial

Summary

This video discusses the polynomial of order n or less that passes through (n+1) data points is unique.

Learning Objective

After watching this video, you will be able to prove that the polynomial of order n or less that goes through (n+1) data points is unique. Since there are many methods to find interpolating polynomials, such as Direct Method, Lagrangian Interpolation, Newton Divided Difference Interpolation, etc, it is important to recognize that all these polynomial forms may be different but they are the same.

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