If p is a prime and both roots of x2+px−444p=0 are integers, then<spanclass=′latex−bold′>(A)</span> 1<p≤11<spanclass=′latex−bold′>(B)</span> 11<p≤21<spanclass=′latex−bold′>(C)</span> 21<p≤31<spanclass=′latex−bold′>(D)</span> 31<p≤41<spanclass=′latex−bold′>(E)</span> 41<p≤51 inequalitiesquadraticsAMC