The following expressions are polynomials? Justify your answer:

$\frac{(x-2)(x-4)}{x}$

Give an example of a polynomial, which is:

$(i)$ monomial of degree $1$

$(ii)$ binomial of degree $20$

$(iii)$ trinomial of degree $2$

Evaluate

$(555)^{2}$

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

Check whether $p(x)$ is a multiple of $g(x)$ or not :

$p(x)=2 x^{3}-11 x^{2}-4 x+5, \quad g(x)=2 x+1$