a) Find a Lagrange interpolating polynomial in the form of P, (x) = ax³ + bx² + cx+d befitting the following data points (0,4),(1,3), (4,24) and (5,39). Hence use the polynomial to estimate f(3) (Smarlin)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 16AEXP
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a) Find a Lagrange interpolating polynomial in the form of P,(x) = ax³ + bx² + cx+d befitting the
following data points (0,4),(1,3), (4,24) and (5,39). Hence use the polynomial to estimate f(3)
Transcribed Image Text:a) Find a Lagrange interpolating polynomial in the form of P,(x) = ax³ + bx² + cx+d befitting the following data points (0,4),(1,3), (4,24) and (5,39). Hence use the polynomial to estimate f(3)
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