Word Count : 330

---

We are asked to find the interpolating polynomial for the data (x = -1, 0, 1, 2) with (f(x) = 3, -4, 5, -6) using the Newton forward difference method (or equivalently constructing a polynomial manually). First, construct the divided differences table: | (x) | (f(x)) | (\Delta f) | (\Delta^2 f) | (\Delta^3 f) ______ ___ ________ _____ ___ ______.
_____ ___ _____ ____ _____ _________ _____ _____ _________ _______ ____.
______ ________ _____ _______ __________ ____ ____.
______ ________ ________ ____ _____.
_______ __________ ____ ___ ___ ________ ________ _____ ____ ______ _______.
___ ____ _____ ___ __________ ___ _________ _____.
_____ ________ _________ ____ ___ ______ _________ _____ _____ _______.
______ ____ ________ _______ _________ ________ _____ ______.
_________ ___ _________ ___ _________ ________ _______ _________ ________.
_______ _______ ____ ______ _____ _________ ________ ____ ____ _________.
_____ _________ ____ __________ _____ ___.
______ ________ __________ ___ _________ ______ _________ _______ ________ ________ ______.
_________ __________ __________ _____ _______.
_________ ______ ____ ___ ____ __________.
___ ______ _______ __________ ___ _______ ____ __________ _________ ________ ________.
__________ __________ ____ ________ ________ _______ _______ _________.
___ _____ _________ _________ _____.
__________ ________ ___ ____ _______ ____ _____ _________ ________ ___.
______ __________ _____ ______ ____ _____ __________ ________ _____ ___ ______ _______.
_____ ___ ____ _____ __________ _______ _____ ______ _______ __________ _____ __________.
_____ ___ _______ ______ __________ __________ ____ _____ ______.
___ _____ ______ __________ _____ __________ ___ __________ __________ ___ ________.
_______ __________ ________ __________ ______ _______ ____ ____ ______.
____ _______ _______ ________ _______ ___.
___ _____ ______ ________ _____ ____ __________ __________.
________ ___ ____ _________ ___ _________ ____ _______ ______ _________ ______ _____.
______ _________ ______ _________ _____.
__________ _________ ______ ____ ______ ______ ____ ______.
__________ ________ __________ ________ ___.
______ _______ ______ __________ _________ ___.
_______ __________ _______ ____ _______ __________ _________ ________ _______ ____ ________ ______.
__________ ____ __________ __________ ________ _______ __________ ___ ________ __________ _______ ______.
_______.
Get Full Answer on WhatsApp