$$P(x) = 2x^{3} - (m+1)x^{2} - nx + 3m - 1$$ Given that the polynomial is completely divisible by $x^{2} - x$, what is $m - n$? A) $\frac{-1}{3}$ B) $\frac{-1}{2}$ C) $\frac{3}{2}$ D) $2$ E) $3$
$$P(x) = 2x^{3} - (m+1)x^{2} - nx + 3m - 1$$
Given that the polynomial is completely divisible by $x^{2} - x$, what is $m - n$?
A) $\frac{-1}{3}$\\
B) $\frac{-1}{2}$\\
C) $\frac{3}{2}$\\
D) $2$\\
E) $3$