If the polynomials $a z^{3}+4 z^{2}+3 z-4$ and $z^{3}-4 z+a$ leave the same remainder when divided by $z-3,$ find the value of $a$.
Expand
$\left(\frac{x}{2}-\frac{2}{5}\right)^{2}$
The degree of polynomial $7 x^{5}-4 x^{4}+2\left(x^{3}\right)^{2}-x^{2}+35$ is $\ldots \ldots \ldots$
What are the possible expressions for the dimensions of a cuboid whose volume is given as $\left(2 x^{3}+15 x^{2}+33 x+20\right)$ cubic units? $(x>0)$
Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by
$x+1$