5. A third degree polynomial passes through the points (0, – 1), (1, 1), (2, 1) and (3, – 2). Determine this polynomial using Newton's forward interpolation formula. Hence, find the value at 2.5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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5. A third degree polynomial passes through the points (0, – 1), (1, 1), (2, 1) and (3, – 2). Determine this
polynomial using Newton's forward interpolation formula. Hence, find the value at 2.5.
Transcribed Image Text:5. A third degree polynomial passes through the points (0, – 1), (1, 1), (2, 1) and (3, – 2). Determine this polynomial using Newton's forward interpolation formula. Hence, find the value at 2.5.
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