Verify that the polynomialsp(x) = 3+2 (x – 1) +4 (x – 1) (x +2)anda (x) = 4x2 + 6x – 7are both interpolating polynomials for the following table:x1-2 0y 3 -3 -7Explain why this does not violate the uniqueness part of the existence theorem for poly-nomial interpolation.

Newton's divided difference interpolation formula can be defined as:…

Answered: Verify that the polynomials p (x) = 3+2…

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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Verify that the polynomials p (x) = 3+2 (x – 1) +4 (x – 1) (x +2) and a (x) = 4x2 + 6x – 7 are both interpolating polynomials for the following table: x|1-2| 0 y 3 -3 -7 Explain why this does not violate the uniqueness part of the existence theorem for poly- nomial interpolation.