$\begin{tabular}{|c|c|} \hline $\chi$ & $\rho(\chi)$ \\ \hline $-2$ & $5$ \\ \hline $-1$ & $0$ \\ \hline $0$ & $-3$ \\ \hline $1$ & $-1$ \\ \hline $2$ & $0$ \\ \hline \end{tabular}$ The table above gives selected values of a polynomial function $\rho$. Based on the values in the table, which of the following must be a factor of $\rho$ ?

MM

Mashaal Masha

Feb 21, 2024

$x$ $p(x)$ $-2$ $5$ $-1$ $0$ $0$ $-3$ $1$ $-1$ $2$ $0$ The table above gives selected values of a polynomial function $p$. Based on the values in the table, which of the following must be a factor of $p$?

Difficulty: Hard

A:

$(x-3)$

B:

$(x+3)$

C:

$(x-1)(x+2)$

D:

$(x+1)(x-2)$

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ID: 65d62f0e7c9dd71aa1ef6db6