The $H.C.F.$ of $(2x^2 - 4x)$,$(3x^4 - 12x^2)$,and $(2x^5 - 2x^4 - 4x^3)$ is

The $G.C.D.$ and $L.C.M.$ of two polynomials $p(x)$ and $q(x)$ are $x(x+a)$ and $12x^2(x+a)(x^2-a^2)$ respectively. If $p(x) = 4x(x+a)^2$,find $q(x)$.

Find the $G.C.D.$ of the polynomials $36 x^{2}-49$ and $6 x^{2}-25 x+21$.

The $L.C.M.$ and $H.C.F.$ of two polynomials $p(x)$ and $q(x)$ are $36 x^{3}(x+a)(x^{3}-a^{3})$ and $x^{2}(x-a)$ respectively. If $p(x)=4 x^{2}(x^{2}-a^{2})$,find $q(x)$.

Find the $L.C.M.$ of the polynomials $2x^{2}-3x-2$ and $x^{3}-4x^{2}+4x$.

The $H.C.F.$ of two expressions $p$ and $q$ is $1$. Their $L.C.M.$ is