Most laptops (if not all) come with a function key. You'll find one near the bottom left. The function key is labelled "Fn" and usually stands out from the rest - either the "Fn" is in a different color or the key as a whole. The function key works in conjunction with other keys on the keyboard especially the ones in the top row marked "F1" to "F12". The combination of function key with these keys lets you perform various tasks quickly such as shutting the screen, putting the computer in sleep mode, switching the wireless connection on and off etc. By keeping the function key pressed and then hitting one of the keys ("F1" to "F12"), activates a task. Thus, on my uncle's Lenovo laptop (and I've noticed this on HP and Toshiba systems too), you can activate and deactivate the touchpad by using the function key with the "F8" key. So if the touchpad on your laptop is not working and is unresponsive, it's not broken, you or someone else has accidently deactivated it with the function key.
By pushing the Fn key down at the bottom left of the keyboard, it caused the Function keys to drop down at the top of the screen, so you can pick out the correct Function key for the touchpad. On my computer it turned out to be the F9 key. All I had to do was hold the Fn key down and the F9 key at the same time to turn the Touchpad on. Hope this helps someone else out there!