Factorise $x^{3}-23 x^{2}+142 x-120$
Use suitable identities to find the products : $\left(y^{2}+\frac{3}{2}\right)\left(y^{2}-\frac{3}{2}\right)$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=5 x-\pi, \,\,x=\frac{4}{5}$
Write the following cubes in the expanded form : $(3 a+4 b)^{3}$
Find the remainder when $x^4+x^3-2x^2+x+1$ is divided by $x -1$.