Find the zero of the polynomial : $p(x)=a x,\,\, a \neq 0$
$\frac {a}{x}$
$x$
$0$
$a$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=2 x+1, \,\,x=\frac{1}{2}$
Verify : $x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$
Expand $(4a -2b -3c)^2.$
Factorise : $2 x^{2}+7 x+3$
Factorise : $2 y^{3}+y^{2}-2 y-1$