Evaluate the following using suitable identities: $(99)^{3}$

Find the zero of the polynomial: $p(x) = cx + d$,where $c \neq 0$ and $c, d$ are real numbers.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: $4 x^{2}-3 x+7$.

Factorise: $12 x^{2}-7 x+1$

Check whether the polynomial $q(t) = 4t^3 + 4t^2 - t - 1$ is a multiple of $2t + 1$.

Factorise the following: $27 y^{3}+125 z^{3}$