Examine whether $x+2$ is a factor of $x^{3}+3 x^{2}+5 x+6$ and of $2 x+4$.
Check whether $-2$ and $2$ are zeroes of the polynomial $x + 2$.
Verify : $x^{3}+y^{3}=(x+y)\left(x^{2}-x y+y^{2}\right)$
Factorise : $x^{3}-2 x^{2}-x+2$
Factorise $x^{3}-23 x^{2}+142 x-120$