Classify the following polynomial as linear,quadratic,or cubic: $4x^{2} - 49$.

Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $(x-1)(3 x-4)$
$(ii)$ $(2 x-5)(2 x^{2}-3 x+1)$

Give possible expressions for the length and breadth of a rectangle whose area is given as $(20 x^{2}+22 x+6)$ square units,where $(x > 0)$.

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

Factorise $169 x^{2}-625$.

If $(2x + 3)(3x - 1) = 6x^2 + kx - 3$,then find the value of $k$.