Determine which of the following polynomials has $(x + 1)$ a factor : $x^{4}+x^{3}+x^{2}+x+1$.
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=lx+m,\,\, x=-\,\frac{m}{l}$
Factorise each of the following : $27 p^{3}-\frac{1}{216}-\frac{9}{2} p^{2}+\frac{1}{4} p$
Factorise : $\frac{25}{4} x^{2}-\frac{y^{2}}{9}$
Factorise the following using appropriate identities :$x^{2}-\frac{y^{2}}{100}$