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Math·Advanced Math·Nonlinear functions

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For the polynomial function $f$, the graph of $y=f(x)$ in the $xy$-plane passes through the points $(-5,0)$, $(4,0)$, and $(9,0)$. Which of the following must be a factor of $f(x)$?

A

$x+4$

B

$x+9$

C

$x-4$

D

$x-5$