Question 135
$P$ is a polynomial. When $P$ is divided by $x-1$, the remainder is $-4$. When $P$ is divided by $x-2$, the remainder is $-1$. When $P$ is divided by $x-3$, the remainder is $4$. Determine the remainder when $P$ is divided by $x^{3}-6x^{2}+11x-6$.