By Remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where

$p(x)=x^{3}-2 x^{2}-4 x-1, \quad g(x)=x+1$

Factorise

$16 x^{4}-y^{4}$

Factorise the following quadratic polynomials by splitting the middle term

$x^{2}-4 x-77$

For the polynomial $p(x),$ if $p(7)=0,$ then ………. is a factor of $p(x)$.

The following expressions are polynomials? Justify your answer:

$\sqrt{3} x^{2}-2 x$