Answer
$(p+8q)(p+3q)$
Work Step by Step
The first question to ask yourself is what two numbers multiply to 24 while adding to 11? 8 and 3 are the two numbers that satisfy this. We need a $p$$\times$$p$ to get $p^2$. Also, we need an q×q to get $q^2$. The $q^2$ is connected to the 24 so we know that one $q$ will be connected to the 8 and one $q$ will be connected to the 3. This setup will naturally form to get $11pq$.
