2002 AMC 12A Question 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 $-4 \le x \le 4?$

**(A)**

**(B)**

**(C)**

**(D)**

**(E)**