Consider the data table x -1 0 1 2y -1 2 -2 0Compute and simplify the interpolating polynomial by hand in three ways:a) Using the Lagrange interpolating functions.b) Using divided differences.c) By posing the problem as a system of linear equations and solving it. I -1 0 1 21. Consider the data tableY-12-20Compute and simplify the interpolating polynomial by hand in three ways:a) Using the Lagrange interpolating functions.b) Using divided differences.c) By posing the problem as a system of linear equations and solving it.

The objective of this question is to find the interpolating polynomial for the given data points…

Answered: I -1 0 1 2 1. Consider the data table Y…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the data table x -1 0 1 2
y -1 2 -2 0
Compute and simplify the interpolating polynomial by hand in three ways:
a) Using the Lagrange interpolating functions.
b) Using divided differences.
c) By posing the problem as a system of linear equations and solving it.