title: Use master-theorem to solve 4T(n/2) + n^2(logn)^3
body: <p>I'm studying for a midterm and came across this problem that I never understood. How can one apply the master theorem to 4T(n/2) + n^2(logn)^3? It is not obvious to me how it applies to any of the three cases. n^2(logn)^3 differs from n^2 by a function, not by a constant, so what case does it fall under?</p>