Dividing $x^{3}+125$ by $(x-5),$ the remainder is $\ldots \ldots \ldots .$
$250$
$0$
$-125$
$125$
Which of the following expressions is a polynomial, state the reason ? If an expression is polynomial, state whether it is a polynomial in one variable or not
$x^{2}+y^{2}+z^{2}+2 x y+2 y z+2 z x$
Find the following products:
$\left(\frac{x}{2}+2 y\right)\left(\frac{x^{2}}{4}-x y+4 y^{2}\right)$
Expand the following:
$\left(4-\frac{1}{3 x}\right)^{3}$
Factorise :
$6 x^{2}+7 x-3$
The zero of polynomial $5 x-10$ is............