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Math·Advanced Math·Nonlinear functions

hard

$g(x)=x^3+a{x}^2+bx+c$ The function $g$ is defined by the given equation, where $a$, $b$, and $c$ are integer constants. The zeros of the function are $-2$, $-7$, and $6$. What is the value of $a$?

A

-84

B

-3

C

3

D

84