Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x$.
$5$
$4$
$1$
$0$
Find the zero of the polynomial : $p(x) = 3x -2$
Factorise of the following : $8 a^{3}-b^{3}-12 a^{2} b+6 a b^{2}$
Find the degree of the polynomials given : $x^{5}-x^{4}+3$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=lx+m,\,\, x=-\,\frac{m}{l}$
Classify the following as linear, quadratic and cubic polynomials :
$(i)$ $1+x$
$(ii)$ $3 t$
$(iii)$ $r^{2}$
$(iv)$ $7 x^{3}$