With the help of the remainder theorem. examine whether $x+2$ is a factor of the polynomial $x^{3}+9 x^{2}+26 x+24$ or not.

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

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

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

$y^{3}-5 y$

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

$x^{2}+x-3+\frac{4}{x}$

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

$2 x-3$