I have a Polaroid t1031 Digital camera that I've

Sometimes the flash will be disabled when the battery is low in order to save power. Charge the battery fully and start up the camera.

At the top of the display, second from the left, you should see a symbol that contains a lightning bolt. This indicates the flash setting. Press the right side of the circular button until the symbol matches the picture on that button (just the bolt, no eye or A or anything). Now the flash is set to forced on. Try taking a picture.

If the flash still is not going off, something is broken. Call Polaroid. They may replace it if you have a receipt (as long as it's not refurbished or over a year old).