Looking for some help with this question:

x 1 3 5 1. Consider the data table y 16 0 a) Write the interpolating functions L;(x), for j = 0, 1, 2, and obtain the polynomial P2(x) in Lagrange form. Simply P2(x) as much as possible. b) Compute P2(x) using divided differences. Show that the result agrees with the polynomial found in part a)