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

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

Classify the following as linear, quadratic or cubic polynomial

$x^{3}+2 x^{2}+3 x+2$

If $x-2$ is a factor of $x^{3}-3 x^{2}+a x+24$ then $a=\ldots \ldots \ldots$

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

Zero of a polynomial is always $0.$

Without actually calculating the cubes, find the value of each of the following

$(0.2)^{3}-(0.3)^{3}+(0.1)^{3}$