(C) According to the Factor Theorem,if $P(a) = 0$ for a polynomial $P(x)$,then $(x - a)$ is a factor of $P(x)$.Given that $P(-7) = 0$,we substitute $a

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(C) According to the Factor Theorem,if $P(a) = 0$ for a polynomial $P(x)$,then $(x - a)$ is a factor of $P(x)$.Given that $P(-7) = 0$,we substitute $a = -7$ into the theorem.Therefore,$(x - (-7))$ is a factor of $P(x)$.This simplifies to $(x + 7)$ being a factor of $P(x)$.