Find the value of

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

The factorisation of $4 x^{2}+8 x+3$ is

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

$x+1$

Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not

$x^{2}+y^{2}+z^{2}+2 x y+2 y z+2 z x$

By using the factor theorem, show that $(x+2)$ is a factor of the polynomial $6 x^{3}+19 x^{2}+16 x+4$ and then factorise $6 x^{3}+19 x^{2}+16 x+4$