Use Algorithm 3.2 (Divided Difference) to construct the interpolating polynomial of degree four for the following data: f(-1)=0,f(0) = 5,f(1) = 8,f(3) = 10, and f(4) = 15, then ƒ(2.5)

Algebra & Trigonometry with Analytic Geometry
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Chapter4: Polynomial And Rational Functions
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Use Algorithm 3.2 (Divided Difference) to construct the interpolating polynomial of degree four for the following data:
then
f(-1)=0,f(0) = 5,f(1) = 8,f(3) = 10, and f(4) = 15, ƒ(2.5)
Transcribed Image Text:Use Algorithm 3.2 (Divided Difference) to construct the interpolating polynomial of degree four for the following data: then f(-1)=0,f(0) = 5,f(1) = 8,f(3) = 10, and f(4) = 15, ƒ(2.5)
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