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

$p(x)=x^{3}-5 x^{2}+4 x-3, \quad g(x)=x-2$

$x+1$ is a factor of the polynomial

Classify the following as linear, quadratic or cubic polynomial

$8 x^{3}-343$

Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not

$5 x^{2}-7 x+3 \sqrt{x}$

The following expressions are polynomials? Justify your answer:

$1-\sqrt{5 x}$