Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x$.
$5$
$4$
$1$
$0$
Use the Factor Theorem to determine whether $g(x)$ is a factor of $p(x)$ in each of the following cases : $p(x)=x^{3}+3 x^{2}+3 x+1$, $g(x)=x+2$.
Expand $(4a -2b -3c)^2.$
Expand each of the following, using suitable identities : $(3 a-7 b-c)^{2}$
Expand each of the following, using suitable identities : $(-2 x+3 y+2 z)^{2}$
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x-\frac{1}{2}$