Show that $3$n$^3-8$n$^2+7$nlogn$-4$ is O$($n$^3).$ Justify your answer by a providing

real$-$valued constant, corresponding to the upper$-$bound constant factors c$,$ and the integer constant n$0>=1,$ consistent with the defnition of big$-$Oh$.($Show your work. The provided constants c$,$ and n$0$ should follow clearly from your work and be reasonably tight.$)$