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Math·Advanced Math·Nonlinear functions

hard

For the polynomial function $f$, the graph of $y=f(x)$ in the xy-plane passes through the points $(-2,0)$, $(1,0)$, and $(7,0)$. Which of the following must be a factor of $f(x)$?

A

$x+3$

B

$x+7$

C

$x-1$

D

$x-8$