Let xo, ..., xn be n + 1 distinct points. Consider a function f(x) and assume there exists a polynomial p(x) of degree at most n + 1 such that p(Tk) = f(xk) for k = 0, ...,n, and p'(xn) = f'(xn). Show that this polynomial is unique. %3D

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A: The details solution of the given question is given below in step 2.

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