The following expressions are polynomials? Justify your answer:

$8$

Write the following cubes in expanded form

$(4 x-3 y)^{3}$

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

$x-6$

Factorise

$x^{3}-11 x^{2}+20 x+32$

Factorise :

$a^{3}-8 b^{3}-64 c^{3}-24 a b c$

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

$x^{3}+4 x^{2}+x-6$