Classify the following as a linear,quadratic,or cubic polynomial:
$5 - 3t$

Factorise:
$a^{3}-8 b^{3}-64 c^{3}-24 a b c$

Factorise the expression: $x^{2} + \frac{y^{2}}{4} + \frac{z^{2}}{16} + xy + \frac{yz}{4} + \frac{zx}{2}$

On dividing $p(x) = x^{3} + 2x^{2} - 5ax - 7$ by $(x + 1)$,the remainder is $R_{1}$ and on dividing $q(x) = x^{3} + ax^{2} - 12x + 6$ by $(x - 2)$,the remainder is $R_{2}$. If $2R_{1} + R_{2} = 6$,then find the value of $a$.

If $p(x) = x + 3,$ then $p(x) + p(-x)$ is equal to

Find the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $2x - 3$.