Without actually calculating the cubes, find the value of each of the following
$(14)^{3}+(27)^{3}-(41)^{3}$
Write the coefficient of $x^{2}$ in the following polynomials
$\pi x^{2}-\frac{22}{7} x+3.14$
By remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=4 x^{3}-12 x^{2}+14 x-3, g(x)=2 x-1$
Find the zero of the polynomial in each of the following cases
$p(x)=\frac{2}{3} x+\frac{5}{4}$
Factorise
$9 x^{2}-21 x y+10 y^{2}$