The graph of y=f(x), where f(x) is a polynomial of degree 3, contains points A(2,4), B(3,9), and C(4,16). Lines AB, AC, and BC intersect the graph again at points D, E, and F, respectively, and the sum of the x-coordinates of D, E, and F is 24. What is f(0)?<spanclass=′latex−bold′>(A)</span>−2<spanclass=′latex−bold′>(B)</span>0<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>524<spanclass=′latex−bold′>(E)</span>8