2000 Impala Odd Problem

I have a 2000 Impala 9C1 (police package). If i take a right hand corner theres no problem, but if i hit the gas the front end and steering wheel shake like a biotch. If i take a left corner theres no problems at all. Any ideas?

Thanks

is the impala front wheel drive?  Look for a loose connection in your right wheel connection to the drive train - on a right turn, the car wants to pull away from the right wheel and when you step on the gas, looseness in the joint could translate into slipping in the joint?  Just a thought.