What is the condition that the zeroes of the polynomial f -LRB- x -RRB- = x ^ 3 + 3px ^ 2 + 3qx + r may be in AP ?
Is the polynomial -LSB- math -RSB- f -LRB- x -RRB- = x ^ 3 - 2 -LSB- / math -RSB- irreducible in -LSB- math -RSB- \ mathbb -LCB- Q -RCB- -LSB- \ sqrt -LCB- 2 -RCB- -RSB- -LSB- x -RSB- ? -LSB- / math -RSB-