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Create a program in Python to do the following problem.

Lagrange interpolating polynomial is defined as follows:

Please include the code for the problem in Python.

The Lagrange interpolating polynomial is the polynomial P(x) of degree s (n-1) that passes through the n points (x1, y = f (x1), (x2, y2 = f (x2)), ..., (xn, yn = f (x)), and is given by P(x)= P, 6). = l where P, =, ,* k=1 ku Written explicitly, (x - x2)(x - x3)... (x - xn) (x - x1)(x x3)... (x xn) P(x) = (x1 - x2) (x1 - x3) --- (x1 - x) (x2 x1)(x2 x3)... (x2 Xn) (x - x1)(x - x2) ... (x Xn-1) (x1 - x)(x, - x2)... (xn - xn-1). In + PROBLEM 3: Let (x0, f (xo)), . . . , (In, f(xn)), be n +1 points in the plane, where a