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6. An interpolation polynomial is given as follows 1 P,(x) = -16+9(x+1)–2(x+1)(x) + (x+1)(3)(x-2)-(x+1)(x)(x-2)(x-5) Based on the given interpolation polynomial, with (x4, y¼) =(8, 29), develop a table of Newton divided difference. Subsequently, determine the value of P, when x=2. Show your calculation clearly in obtaining each answer.

6. An interpolation polynomial is given as follows 1 P,(x) = -16+9(x+1)–2(x+1)(x) + (x+1)(3)(x-2)-(x+1)(x)(x-2)(x-5) Based on the given interpolation polynomial, with (x4, y¼) =(8, 29), develop a table of Newton divided difference. Subsequently, determine the value of P, when x=2. Show your calculation clearly in obtaining each answer.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 10CT
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6. An interpolation polynomial is given as follows P.(x) =-16+9(x+1)– 2(x+1)(x) +| (x+1)(x)(x-2)-| (x+1)(x)(x-2)(x-5) 36 Based on the given interpolation polynomial, with (x4,Y4)=(8, 29), develop a table of Newton divided difference. Subsequently, determine the value of P, when x=2. Show your calculation clearly in obtaining each answer.
Transcribed Image Text:6. An interpolation polynomial is given as follows P.(x) =-16+9(x+1)– 2(x+1)(x) +| (x+1)(x)(x-2)-| (x+1)(x)(x-2)(x-5) 36 Based on the given interpolation polynomial, with (x4,Y4)=(8, 29), develop a table of Newton divided difference. Subsequently, determine the value of P, when x=2. Show your calculation clearly in obtaining each answer.
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