The following expressions are polynomials? Justify your answer:

$\frac{1}{7} a^{3}-\frac{2}{\sqrt{3}} a^{2}+4 a-7$

Write the coefficient of $x^{2}$ in the following polynomials

$5-7 x-3 x^{2}$

Factorise

$49 x^{2}-35 x+6$

Factorise the following quadratic polynomials by splitting the middle term

$x^{2}+10 x+16$

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

$x-2$

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

$p(x)=4 x^{3}-12 x^{2}+14 x-3, g(x)=2 x-1$