Neville’s Algorithm is used to approximate f (0) using f (−2), f (−1), f (1), and f (2). Suppose f (−1) was understated by 2 and f (1) was overstated by 3. Determine the error in the original calculation of the value of the interpolating polynomial to approximate f (0)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.3: The Remainder And Factor Theorems; Synthetic Division
Problem 36E
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Neville’s Algorithm is used to approximate f (0) using f (−2), f (−1), f (1), and f (2). Suppose
f (−1) was understated by 2 and f (1) was overstated by 3. Determine the error in the original
calculation of the value of the interpolating polynomial to approximate f (0).

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