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 $${I_{\text{L}}}$$ and then by the Newton polynomial, denoted by $${I_{\text{N}}}$$. Which one of the following statements is correct?

A. $${I_{\text{L}}}$$ is always greater than $${I_{\text{N}}}$$

B. No definite relation exists between $${I_{\text{L}}}$$ and $${I_{\text{N}}}$$

C. $${I_{\text{L}}}$$ and $${I_{\text{N}}}$$ are always equal

D. $${I_{\text{L}}}$$ is always less than $${I_{\text{N}}}$$

Answer: Option C