Find the interpolating polynomial of the following point and function using Lagrange interpolation process. 1. (-3,0), (-1,2), (0,-2), (1,3) and (3,-1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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B. Find the interpolating polynomial of the following point and function using Lagrange interpolation process.
1. (-3,0), (-1,2), (0,-2), (1,3) and (3,-1).

2. y = cos ( 2x ) at x = [0,π] with four equally spaced points.

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