Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by
$x+4$
If $x+y=12$ and $x y=27,$ find the value of $x^{3}+y^{3}$
Find the following products:
$\left(x^{2}-1\right)\left(x^{4}+x^{2}+1\right)$
Write the coefficients of $x^{2}$ in each of the following polynomials
$x^{3}+27$
Factorise the following quadratic polynomials by splitting the middle term
$6 x^{2}+7 x-20$