a. Show that the cubic polynomials P(x) = 3 2(x + 1) + 0(x + 1)(x)

Question:

a. Show that the cubic polynomials
P(x) = 3 ˆ’ 2(x + 1) + 0(x + 1)(x) + (x + 1)(x)(x ˆ’ 1)
And
Q(x) = ˆ’1 + 4(x + 2) ˆ’ 3(x + 2)(x + 1) + (x + 2)(x + 1)(x)
Both interpolate the data

b. Why does part (a) not violate the uniqueness property of interpolating polynomials?

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:37 AM

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a. Show that the cubic polynomials P(x) = 3 2(x + 1) + 0(x + 1)(x)

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f(x) 33

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a P2 Q2 1 P1 Q1 3 P0 Q0 1 P1 Q1 1 P2 Q2 3 b The format of the p...View the full answer

Numerical Analysis

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