Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x) = (x + 1) (x -2)$, $x = -\,1, \,2$
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x+1$
Write the coefficients of $x^2$ in each of the following :
$(i)$ $\frac{\pi}{2} x^{2}+x$ $ (ii)$ $\sqrt{2} x-1$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=x^{2}, \,x=0$
Expand each of the following, using suitable identities : $(x+2 y+4 z)^{2}$