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If it's split in the middle of the brick, trying to patch it will not work very well. My entire back row had cracks right in the middle of the brick. I tried to repair and they never held very well. It could be from bumping it with splits during the load. Easier to replace the bricks and be a little more careful during the load.
I think they're about $3 each to replace. I suspect you'd spend more on the furnace cement, unless you're dealing with some odd size that's hard to replace.
As hogz said, if it is split yet still holding together w/ no gaping holes, then keep using it, just don't slam the sucker.
The furnace cement might bond it for a while, but it's just a temp fix, and as Joful mentioned, it'll likely cost more than the firebrick.
If the firebrick is in an easily accessible location, and you can pick up one easily, then just swap it out when the stove gets cold next time. If it's good enough for now, and it's in a location that would necessitate the removal of other firebricks to access it, then wait till spring.
The firebrick that I was going to repair had 2 special angles cut, but my wife and I just replaced all the other bricks tonight and left that one and another specially cut brick. I picked up bricks for replacement at Tractor Supply at $3 a brick compared to $15 at the dealer. Now that's a good deal. The only problem is the new brick must be slightly larger than the old because we had trouble putting the last cut brick that is cracked in half back in place but we did eventually get it and it's not goin anywhere. I am hoping the bricks wont expand much so as not to crack more of them. I had to grind a bump off one and the bench grinder worked good except for the excessive dust - that's an outside job next time.
also strange your dealer charges so much for brick. I got some for a guy at work, before i ssaw TSC had them. I think we paid $3-4 per brick at the dealer.