I rarely use it. I won't say I hate it because I don't want to hurt its feelings, but I have very similar problems as you.
You say this is not a user problem, but I'm willing to bet it is. Your HP Pavilion DV7 has a Trackpad which is off-center to the left, ie, near the CTRL key. My PB laptop has a centered trackpad and I was always brushing against it with my palms, or fingers, or wrists when I was typing.
I was lucky though that the trackpad has a switch just to the right of it that 'turns the trackpad off' for when I am typing. That is still annoying though because I have to remember to press it, but then the mouse cursor is disabled and I have to turn the pad back on to navigate. In the end I got myself a spare USB mouse and disabled the trackpad altogether.
Don't dismiss user error, these forums are full of users with similar problems with trackpads.
I bought a Pavilion dv7 two months ago. It has Windows 7 pre-installed. My problem is that when I am typing, shortcuts appear without me wanting them to. I actually had to write this post first in notepad because when I attempted to write this in the text field of the form I kept having favorites, print and other shortcuts open. I still had it happen in here, but at least I wouldn't suddenly leave a browser page and lose all of my work. I have not been accidentally hitting the control key. I work with computers daily, I know this isn't simply user error. I let it go for a while thinking maybe I was doing something wrong, but I am not. I don't know if some setting is messed up. I have Nortons installed and it shows no sign of any virus, and I have never experienced anything like this. It makes me hate a new laptop I was excited to get.
This is really frustrating. Sometimes when I want to enter something in a text field I have to enter a space first so I can type. I really need assistance, because I have called the company several times and have received no useful help.