I thought, "How am I going to get the attention of the executives? I'm 17, there's no way I can just submit a resume and get hired." So I scoured the internet for any Ageia phone numbers I could find. I called one of them, and a guy who spoke Chinese picked up. "Um... hello?" and he hung up. But I noticed a pattern in all of the numbers I found. They all started with the same 5 digits (for example, 555-1212, 555-1286, etc). So I changed the last two digits to 01 and tried, and nobody picked up. Then I tried 02 and got one of the top execs on the phone. I convinced him to let me show him some of my gamedev demos the following day. After that, he told me that he was impressed, but to prove my skills, I had two weeks to create a demo using PhysX. Two weeks later, I had created three simple but effective demos.
He seemed pretty impressed at that point, and even told me "you definitely have a job here". Then I didn't. He couldn't get special permission to hire a 17-year old, because I couldn't sign the NDA. But he asked John Ratcliff (who worked at Ageia at the time) if he knew of any local companies I'd be a good fit at. He did, and it turned out that there was a gamedev studio about 30 minutes away from where I lived. I was really excited, and they invited me to take their programmer test.
The guy who handed me the test said "I hope you know your C++"... he wasn't exactly confident in me, apparently. (I don't blame him, most candidates suck.) But I took the test and got a decent score. Up next was the interview phase, where around 8 programmers came in and sat at a large table in the conference room. I presented my demos to them (including my three previous Ageia demos).
I dropped out of high school and worked there as an unpaid intern for about 8 months, at which point I was hired and worked there for three years. Also, the time between the job fair and my first day on the job was several months, so the whole process took a lot of effort.
So my advice is, demos are key; talk to the decision-makers, not the middlemen; and demonstrate your skill in every other possible way (but mostly shut up and let other people talk, because you don't know 1/10th of what you think you know).
Also, be genuinely interested in other people. Almost everyone likes the idea of being a mentor.