Find the value of the polynomial $x^{2}-7x+12$ at $x=-2$.

Write the following cube in expanded form:
$(7x - 4y)^{3}$

By the Remainder Theorem,find the remainder when $p(x)$ is divided by $g(x)$,where $p(x) = x^{3} - 6x^{2} + 2x - 4$ and $g(x) = 1 - \frac{3}{2}x$.

Find the zero of the polynomial $p(x)=5 x-8$.

Factorise $25 x^{2}+25 x+6$.

On dividing $16x^2 - 24x + 9$ by $4x - 3$,find the remainder.