Verify whether $2$ and $0$ are zeroes of the polynomial $x^{2}-2 x$.

Let                $p(x)=x^{2}-2 x$

Then             $p(2) = 2^2 -4 = 4 -4 = 0$

and                  $p(0) = 0 -0 = 0$

Hence, $2$ and $0$ are both zeroes of the polynomial $x^2 -2x.$

Let us now list our observations :

$(i)$ A zero of a polynomial need not be $0$.

$(ii)$ $0$ may be a zero of a polynomial.

$(iii)$ Every linear polynomial has one and only one zero.

$(iv)$ A polynomial can have more than one zero.