Help with understanding a question about solving equations with given solutions

[charred kelp]

have a question regarding the following problem:

The numbers 2 and 4 are solutions to the equation $x^n + ax^{n-1} + ... + bx + c = 0$. What can we conclude about the value of n?
[
\begin{align}
(a) $n \leq 2$ \
(b) $n = 2$ \
(c) $n \geq 2$ \
(d) None of the above \
\end{align}
]
I have attempted to solve the problem by substituting the given values of x into the equation and simplifying, but I am not sure what to do next. I also tried to think about what the equation would look like for different values of n, but that didn't seem to help either.

[soft cosmos]

dgh
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[charred kelp]

How do we arrive at answer c?

[delicate cliff]

.close