Evaluate

$(555)^{2}$

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

$p(x)=x^{3}-3 x^{2}+4 x+50, g(x)=x-3$

Classify the following polynomials as polynomials in one variable, two variables etc.

$y^{3}-5 y$

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

$x+1$

The following expressions are polynomials? Justify your answer:

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