Factorise the following:

$16 x^{2}+4 y^{2}+9 z^{2}-16 x y-12 y z+24 x z$

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

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

Factorise

$4 x^{2}+9 y^{2}+49 z^{2}-12 x y+42 y z-28 z x$

Classify the following as linear, quadratic or cubic polynomial

$x^{3}+2 x^{2}+3 x+2$

If $x+1$ is a factor of $a x^{3}+x^{2}-2 x+4 a-9,$ find the value of $a$.