Theat's six resistors, not twelve - since your 3k potentiometer doesn't present a constant to the amplifier, balancing the input impedances doesn't win you much.
And they don't have to be discrete resistors - in fact if you want precise and stable gain you are much better off using an array of thin film precision resistors in a single package, or three precision dividers.
Farnell carry the Vishay RMKMS816 with 8 10k 0.1% resistors in a 16-pin DIP - order code 309-8667, for about $15, and the MPM range of precision dividers in an SOT23 package - the 10k+10k 1:1 divider (order code 309-8643) costs about $4 and you'd need three of them.
I'd go for the SOT23 dividers myself - they are marginally cheaper, and the PCB layout would come out better.
Not all that cheap, but quite precise - the dividers offer a ratio tolerance of +/-0.05%, witha temperature stability of +/-2ppm/C, appreciably better than the eight resistor array.
------- Bill Sloman, Nijmegen