Show that the Newton divided-difference polynomials 3 – 2(x + 1) + 0(x + 1)x + (x + 1)x(x – 1) and -1+ 4(x + 2) – 3(x + 2)(x + 1) + (x + 2)(x + 1)x both interpolate the data (–2, – 1), (–1,3), (0, 1), (1, – 1), (2,3). wwww Why do the polynomials not violate the uniqueness property of interpolating polynomials?

Show that the Newton divided-difference polynomials 3 – 2(x + 1) + 0(x + 1)x + (x + 1)x(x – 1) and -1+ 4(x + 2) – 3(x + 2)(x + 1) + (x + 2)(x + 1)x both interpolate the data (–2, – 1), (–1,3), (0, 1), (1, – 1), (2,3). wwww Why do the polynomials not violate the uniqueness property of interpolating polynomials?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 43E

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