The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points.The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by theNewton polynomial, denoted by IN.Which one of the following statements is correct?

• A. IL is always greater than IN
• B. No definite relation exists between IL and IN.
• C. IL is always less than IN
• D. IL and IN are always equal