For this problem, we are going to use the Remainder Theorem. This says that for to be a factor of a polynomial
, then
. Essentially, it says that
is a factor if when you substitute
into the polynomial you get a result of 0.
Thus, in our case, when we substitute into the polynomial, we should get an answer of 0 if
is a factor of the polynomial. Given this information, we can solve for
:
The solution is c = 3.