Evaluate the following using suitable identities : $(998)^{3}$
Find the zero of the polynomial : $p(x) = 3x$
Evaluate $105 \times 106$ without multiplying directly.
Divide the polynomial $3 x^{4}-4 x^{3}-3 x-1$ by $x-1$.
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $5+2 x$.