Find the value of

$x^{3}-8 y^{3}-36 x y-216,$ when $x=2 y+6$

If $p(x)=x^{2}-4 x+3,$ evaluate $: p(2)-p(-1)+p\left(\frac{1}{2}\right)$

What should be added to $p(x)=x^{2}-8 x+10$ so that the resulting polynomial is divisible by $x-3 ?$

Write whether the following statements are True or False. Justify your answer.

$\frac{6 \sqrt{x}+x^{\frac{3}{2}}}{\sqrt{x}}$ is a polynomial, $x \neq 0$

In the polynomial $5 x^{3}-3 x^{2}+11 x-4,$ the coefficient of $x^{2}$ is......

Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by

$2 x+1$