Let P3(x) be the interpolating Lagrange polynomial of degree 3 passing through the points (0,0), (1/2, y), (1,3) and (2,2). If the coefficient of x3 in P3(x) is 6, then determine the value of y.

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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Let P3(x) be the interpolating Lagrange polynomial of degree 3 passing through the points (0,0),
(1/2, y), (1,3) and (2,2). If the coefficient of x3 in P3(x) is 6, then determine the value of y.

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