AMC 12A 2003 Problem 21

The graph of the polynomial

P(x)=x^{5}+a x^{4}+b x^{3}+c x^{2}+d x+e

has five distinct x-intercepts, one of which is at (0,0). Which of the following coefficients cannot be zero?

Answer Choices
A. a
B. b
C. c
D. d
E. e