Final answer:
The first step after Router A has a populated routing table is to analyze network topology changes, which may result in sending routing updates to other routers, including any changes to the 10.1.1.0/24 network, known as Network X.
The Correct option is; C) Analyzing network topology changes
Step-by-step explanation:
The first step after Router A has a routing table with many entries would typically be analyzing network topology changes (C). This process involves the router determining if there have been changes in the network such as links going up or down, or changes in link costs. The router's routing protocol will then determine whether these changes need to be propagated to other routers.
If there have been changes, the router might engage in sending routing updates to all routers (B) to ensure the entire network has an accurate and updated understanding of the network topology.
However, routers typically do not broadcast a request for updates (A); they instead send updates when their metrics for reaching a network change.
Regarding the specific entry for the 10.1.1.0/24 network, referred to as Network X, this would be included in the updates sent out if there was a change to how Router A can reach Network X or if the route to Network X has become unavailable.