By using the factor theorem, show that $(x+2)$ is a factor of the polynomial $6 x^{3}+19 x^{2}+16 x+4$ and then factorise $6 x^{3}+19 x^{2}+16 x+4$

Evaluate

$153 \times 147$

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

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

Factorise $: x^{3}+x^{2}-26 x+24$

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

$y^{3}-5 y$