With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x-4$

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

$x^{2}-2 x y+y^{2}+1$

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

$x-2$

Factorise

$16 x^{2}-16 x-21$

From the following polynomials find out which of them has $(x+1)$ as a factor

$6 x^{3}+11 x^{2}-5 x-12$

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

A binomial may have degree $5$