Final answer:
To manage complex febrile seizures, anticonvulsants like diazepam are administered under medical supervision, which can reduce seizure risk and improve prognosis by preventing potential brain damage.
Step-by-step explanation:
The best management of complex febrile seizures often involves the use of anticonvulsants such as diazepam, which are administered to control active seizures. Administering these medications can improve the long-term prognosis by helping to prevent potential brain damage that could occur as a result of prolonged or repeated seizures. Diazepam and similar anticonvulsants reduce the risk of a subsequent seizure and are typically given under medical supervision since they are not suitable for self-administration.