AMC10/12
Intermediate
2003
The graph of the polynomial
$P(x) = x^5 + ax^4 + bx^3 + cx^2 + dx + e$
has five distinct $x$-intercepts, one of which is at $(0,0)$. Which of the five coefficients ($a$, $b$, $c$, $d$, $d$, and $e$) cannot be zero?
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