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

Classify the following as a constant, linear,quadratic and cubic polynomials:

$1+x+x^{2}$

Determine the degree of each of the following polynomials:

$x^{3}-9 x+3 x^{5}$

Without actually calculating the cubes, find the value of each of the following

$(14)^{3}+(27)^{3}-(41)^{3}$

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