Evaluate

$(555)^{2}$

Write the coefficient of $x^{2}$ in the following polynomials

$7 x^{3}-11 x+24$

Determine which of the following polynomials has $x-2$ a factor :

$3 x^{2}+6 x-24$

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

Factorise $: x^{3}-125$

If $x+y=12$ and $x y=27,$ find the value of $x^{3}+y^{3}$

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

$x-4$