Yep, they've had it.
If you try to polish it out yourself, you will change the shape of the lens so that you no longer have a blurry spot due to scratching, but you will have a blurry spot due to the changed shape of the lens. Plus if you have any coatings applied to the lens, e.g. anti-reflection, anti-scratch, these will be taken off.
Best bet is to take it back to you optomerist, they should be able to repolish (to the correct shape) and re-apply coatings, for less that the cost of new lenses.
Good luck!