A 2^nd degree polynomial, f(x) has values of 1, 4 and 15 at x = 0, 1 and 2, respectively. The integral $$\int\limits_0^2 {{\text{f}}\left( {\text{x}} \right){\text{dx}}} $$   is to be estimated by applying the trapezoidal rule to this data. What is the error (defined as "true value - approximate value") in the estimate?

A. $$ - \frac{4}{3}$$

B. $$ - \frac{2}{3}$$

C. 0

D. $$\frac{2}{3}$$

Answer: Option A