If $x^{2}+kx+6=(x+2)(x+3)$ for all $x$,then the value of $k$ is

Expand $(a - 2b + 7c)^2$.

Factorise:
$3x^{3}-x^{2}-3x+1$

With the help of the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 1$.

Factorise the following:
$4 x^{2}+20 x+25$

State whether the following statement is true or false:
The degree of the polynomial $5x^{2} - 7x + 2$ is $5$.