Answered: 6. The following data are given for a…

6. The following data are given for a polynomial P(x) of unknown degree. 0 12 3 P(x) 4 9 15 18 Determine the coefficient of x³ in P(x) if all fourth-order forward differences are 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 43E

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

6.
The following data are given for a polynomial P(x) of unknown degree.
0 12 3
P(x) 4 9 15 18
Determine the coefficient of x³ in P(x) if all fourth-order forward differences are 1.

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