Find the zero of the polynomial: $p(x) = 3x$

Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases: $p(x) = x^3 + 3x^2 + 3x + 1$,$g(x) = x + 2$.

Evaluate the following using suitable identities: $(998)^{3}$

Write the coefficients of $x^2$ in each of the following:
$(i)$ $2+x^2+x$
$(ii)$ $2-x^2+x^3$

Factorise $8 x^{3}+27 y^{3}+36 x^{2} y+54 x y^{2}$

Write the coefficients of $x^2$ in each of the following:
$(i)$ $\frac{\pi}{2} x^2 + x$
$(ii)$ $\sqrt{2} x - 1$