Lagrange Interpolation polynomial using python of degree3

I understand the math for the question I cannot seem to get thecorrect python code please help with python to solve

For f (x) = x ln(x), (1) use appropriate Lagrange interpolatingpolynomial of degree three to approximate f(8.4). Use the followingdata: f(8.1) = 16.94410, f(8.3) = 17.56492, f(8.6) = 18.50515,f(8.7) = 18.82091. (2) use appropriate Newton interpolationpolynomial again to redo the work.

Everything has to be done in python