Without actually calculating the cubes, find the value of each of the following

$\left(\frac{1}{2}\right)^{3}+\left(\frac{1}{3}\right)^{3}-\left(\frac{5}{6}\right)^{3}$

Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not

$\pi x^{2}-\sqrt{3} x+11$

The following expressions are polynomials? Justify your answer:

$\frac{1}{5 x^{-2}}+5 x+7$

Find the zero of the polynomial $p(x)=5 x-8$.

Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials

$p(x)=x^{2}-3 x+2$