One of the factors of $\left(25 x^{2}-1\right)+(1+5 x)^{2}$ is

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

$p(x)=8 x^{3}-6 x^{2}-4 x+3, \quad g(x)=\frac{x}{3}-\frac{1}{4}$

State whether each of the following statements is true or false

$x^{2}-5 x+4$ is a linear polynomial.

Write whether the following statements are True or False. Justify your answer.

$\frac{6 \sqrt{x}+x^{\frac{3}{2}}}{\sqrt{x}}$ is a polynomial, $x \neq 0$

Zero of the zero polynomial is