Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=k x^{2}-3 x+k$
Find a zero of the polynomial $p(x) = 2x + 1$.
Check whether $-2$ and $2$ are zeroes of the polynomial $x + 2$.
Write the coefficients of $x^2$ in each of the following :
$(i)$ $2+x^{2}+x $
$(ii)$ $2-x^{2}+x^{3}$
Factorise $4 x^{2}+y^{2}+z^{2}-4 x y-2 y z+4 x z$.