For the function f(x) = x² +3x + 1 (a) Construct the divided difference table for the points xo=1, x1=1.5, x2=2, x3=2.5 (b) Find the newton's forward divided difference polynomials of degree 1, 2, and 3 Show all the steps and calculations, including the rules.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 29SE: For the following exercises, use the Intermediate Value Theorem to confirm that the given polynomial...
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For the function
f(x) — х? +3х + 1
(a) Construct the divided difference table for the points xo=1, Xi=1.5, x2=2, x3=2.5
(b) Find the newton's forward divided difference polynomials of degree 1, 2, and 3
Show all the steps and calculations, including the rules.
Transcribed Image Text:For the function f(x) — х? +3х + 1 (a) Construct the divided difference table for the points xo=1, Xi=1.5, x2=2, x3=2.5 (b) Find the newton's forward divided difference polynomials of degree 1, 2, and 3 Show all the steps and calculations, including the rules.
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