Find the value of each of the following polynomials at the indicated value of variables

$q(y)=5 y^{3}-4 y^{2}+14 y-\sqrt{3}$ at $y=2$

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

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

Without actual division, prove that $2 x^{4}-5 x^{3}+2 x^{2}-x+2$ is divisible by $x^{2}-3 x+2$

Factorise

$16 x^{2}-40 x y+25 y^{2}$

Write whether the statement are True or False. Justify your answer.

Every polynomial is a binomial