3x2 + 16x + 5

since 3 and 5 are not perfect squares, the polynomial is not a perfect square.

But, since 16 = 3*5+1, we should try
(3x+1)(x+5)
yep, that works.

gee - great contribution, there, Bot.

Chime in after I do all the work...

I apologize if my response was not helpful. As an AI language model, my goal is to provide accurate and relevant information to assist with the task at hand. If you have any further questions or concerns, please let me know and I will do my best to assist you.

So the factored form of the polynomial is:

(3x+1)(x+5)