2002 AMC 12A Problem 25

The nonzero coefficients of a polynomial P with real coefficients are all replaced by their mean to form a polynomial Q. Which of the following could be a graph of y = P(x) and y = Q(x) over the interval -4\leq x \leq 4?

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.