$\text{If }x-3\text{ divides }{{x}^{3}}-2{{x}^{2}}-x+6,\text{ find the remainder}$

Divide the expression ${{x}^{3}}+7{{x}^{2}}-x-7$ by ${{x}^{2}}-1$

If x +1 is a factor of ${{x}^{3}}+3{{x}^{2}}+mx+4$ find the value of m

Find the value of k if y – 1 is a factor of  ${{y}^{3}}+4{{y}^{2}}+ky-6$ 

$\begin{align}  & \text{The remainder when }6{{p}^{3}}-{{p}^{2}}-47p+30\text{ is divided by }p-3\text{ is } \\ & \text{(A) }21\text{  (B)  42  (C)  63  (D) 18} \\\end{align}$

$\begin{align}  & \text{If }x-4\text{ is a factor of }{{x}^{2}}-x-k,\text{ then }k\text{ is } \\ & \text{(A) 4  (B) 12 (C) 20  (D) 2} \\\end{align}$

Find the remainder when $2{{x}^{3}}-11x+8x-1$is divided by x + 3