Consider $8x^{3}+27y^{3}+64z^{3}-72xyz$ as a polynomial over variable $x$.
$$8x^{3}-72yzx+27y^{3}+64z^{3}$$
Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $8x^{3}$ and $n$ divides the constant factor $27y^{3}+64z^{3}$. One such factor is $2x+3y+4z$. Factor the polynomial by dividing it by this factor.
