For a polynomial $p(x)$, the value of $p(4)$ is $-3$. Which of the following must be true of $p(x)$ ?

Question

$\begin{array}{1 1} (a)\; \text{x-7 is a factor of p(x)} \\ (b)\; \text{x-3 is a factor of p(x)} \\ (c)\; \text{x+3 is a factor of p(x)} \\ (d)\; \text{The remainder when p(x) is divided by x-4 is -3} \end{array}$