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

$x+1$

Factorise

$\frac{4 x^{2}}{9}-\frac{1}{25}$

Find the value of

$x^{3}-8 y^{3}-36 x y-216,$ when $x=2 y+6$

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

Zero of a polynomial is always $0.$

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

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

Factorise

$6 x^{3}-23 x^{2}+29 x-12$