spleak splainly and in small words
How 'bout I just type it really ssslllooowwwlllyyy.
if i save a file as 8x10 or 8x12 300 resolution, largest file jpg, is that the largest print i can make from it?
No, you can print it as big as you want. It might look like poop, but you can print it as big as you want.
Let's take the example of the 8 inch by 12 inch picture at 300 resolution. That picture is 2,400 dots by 3,600 dots. I got that by taking 300 dots per inch times 8 inches to get the total number of dots - 2,400. I then did the same for the 12 inch side.
To look reasonable, most printers want a picture that is between 180 dots per inch to 360 dots per inch. Too many dots isn't usually a problem because the printer will just ignore them. It'll just be slower.
If you print with too few dots per inch, you get the same effect as using a "digital zoom." The printer will have create new dots and guess at how they should look. For some pictures (typically those with lots of detail), this looks terrible. For others, it isn't too bad.
For your picture, if you went all the way down to 180 dots per inch (which is pretty low), you'd be looking at a print size of 13 1/3 inches by 20 inches. I got that by dividing the total number of dots (2,400 by 3,600) by 180 (what I am claiming is the lowest number of dots per inch that will look reasonable in most circumstances).
There are other factors that influence what is acceptable. You can upres the picture on your computer using some pretty elaborate algorythms. In English, that means that you can have the computer add more dots by doing some fancy guessing as to what dots it should add. This can help, but it can't work miracles.
The other big factor to consider is how closely you will view the print. That 180 dots per inch estimate assumes that you will be holding the picture in your hand and looking at it. If the print is on the wall behind the couch and no one is getting within 4 feet of it, you can get away with a lower resolution. The further back you get, the fewer dots per inch you need.
The cheap way to test is to select a part of the print, maybe a 2" by 3" slice and blow that up proportionally. Let's say that you wanted your 8"x12" picture to be printed at 24"x36" (tripling each dimension). Take a 2x3 section and print it at 6"x9". See how it looks at the distance you expect to view the big print. If it looks OK, make the big print. If it looks terrible, you just saved a bunch of ink and paper.