That laptop should work fine.
Can you run other games? Download some game demo from the web, and see if it runs, or install something you have on disc.
Also, you may want to download the DirectX SDK and install it, and open up the DirectX Control Panel that comes with it to see what it says. It also comes with a number of samples -- you can build some of the samples and see if they run OK in C++.
My guess is that you're getting some weird kind of driver interaction -- it may even be the case that the driver on the laptop is b0rked, and you're actually getting "VGA mode" graphics. You may want to right-click the graphics card in the Device Manager and select "Update Driver..." from Windows Update and see if it finds something newer.
Jon Watte, Direct3D MVP
Tweets, occasionallykW X-port 3ds Max .X exporter
kW Animation source code