Student of mathematics.
Answering that question directly is a mistake. When are you going to need to factor a polynomial in the “real world”? Maybe never, kid. Especially not with that attitude.
… math problem, and chances are they’ll squirm, whine, complain and hit you with that tired refrain: “When am I ever going to use this in the real world?”
But when are you going to face a problem that requires focusing for more than 30 seconds? All the goddamn time.