Evaluate the following using suitable identities:
$(107)^{2}$

Factorise $10 x^{2}-x-24$ by splitting the middle term.

Check whether $(x-1)$ is a factor of the polynomial $p(x) = x^{3}-7x^{2}+14x-8$.

Find the following product :
$(2 x-y+3 z)(4 x^{2}+y^{2}+9 z^{2}+2 x y+3 y z-6 x z)$

Which of the following expressions is a polynomial,and state the reason? If an expression is a polynomial,state whether it is a polynomial in one variable or not: $x^{3}+3 x^{2} y+3 x y^{2}+y^{3}$

Find the zeroes of the polynomial in each of the following:
$g(x) = 3 - 6x$