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No matter how we derive the degree polynomial,. • Fitting power series. • Lagrange interpolating functions. • Newton forward or backward interpolation. TheThe point: Here we introduce polynomial interpolation - a critical tool used Figure 1: Interpolating polynomial for data at three nodes (x0,x1,x2) and ▻ Computation of the Interpolating Polynomials. ▻ Different Polynomial Basis. D. Leykekhman - MATH 3795 Introduction to Computational Mathematics. Linear Polynomial Interpolation. In this chapter, we consider the important problem of approximating a function f(x), whose values at a set of. Polynomial Interpolation. A fundamental mathematical technique is to approximate something compli- cated by something simple, or at least less complicated, Definition: The process of fitting a polynomial through given data is called polynomial interpolation. ▻ Polynomials are often used because they have.