For polynomial $p(x)=x^{3}-3 x^{2}+8 x+12$, $p(-1)=\ldots \ldots \ldots$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x+4$

Expand the following:

$(-x+2 y-3 z)^{2}$

Give an example of a polynomial, which is:

$(i)$ monomial of degree $1$

$(ii)$ binomial of degree $20$

$(iii)$ trinomial of degree $2$

Which one of the following is a polynomial?

Find the value of $a$, if $x-a$ is a factor of $x^{3}-a x^{2}+2 x+a-1$.