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 $x+1$
Factorise the following using appropriate identities : $4 y^{2}-4 y+1$
Find the value of each of the following polynomials at the indicated value of variables : $q(y)=3 y^{3}-4 y+\sqrt{11}$ at $y=2$
Factorise : $8 a^{3}+b^{3}+12 a^{2} b+6 a b^{2}$