For the polynomial $p(x),$ if $p(7)=0,$ then $\ldots$ is a factor of $p(x).$

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

Find the value of $m$ so that $2x - 1$ is a factor of $8x^4 + 4x^3 - 16x^2 + 10x + m$.

Check whether the polynomial $p(x) = x^{3} + 9x^{2} + 26x + 24$ is a multiple of $x + 2$ or not.

What are the possible expressions for the dimensions of a cuboid whose volume is given as $(2x^3 + 15x^2 + 33x + 20)$ cubic units? $(x > 0)$

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