Q#3) Consider the function f (x) = x³ – 3x and the data points (0., 0), (1, -2), (2,2), (3,18) Find Newton interpolating polynomial P3 (x). Don't Simplify.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q#3) Consider the function f(x) = x³ – 3x and the data points
(0., 0), (1, -2), (2,2), (3,18)
Find Newton interpolating polynomial P3 (x). Don't Simplify.
Q#4) Without simplifying P3 (x)) in the above estimation ( in Q#3) ,what is the
relation between P3 (x) and f(x). Explain
Transcribed Image Text:Q#3) Consider the function f(x) = x³ – 3x and the data points (0., 0), (1, -2), (2,2), (3,18) Find Newton interpolating polynomial P3 (x). Don't Simplify. Q#4) Without simplifying P3 (x)) in the above estimation ( in Q#3) ,what is the relation between P3 (x) and f(x). Explain
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