Answer: 4
Step-by-step explanation:
descartes rule of signs to test maximum positive and negative:
3x4 - 7x + 3
two sign changes, so maximum of 2 positive real zeroes
3x4 + 7x + 3
no sign changes, so maximum of 0 negative real zeroes
this means that we can have 2 or 0 real zeroes.
if we have 0 real zeroes, we will have 4 imaginary.
therefore the most possible number of complex roots is 4
