If 3x² -2a² -xᵃ -a² -3a² possesses roots of opposite sign, then 'a' lies in,
a) (-[infinity],-1)∪(0,1)
b) (-[infinity],0)∪(1,[infinity])
c) (-[infinity],-1)∪(1,[infinity])
d) (-1,0)∪(0,1)