Respuesta :
Answer: 2
Step-by-step explanation:
We know that complex roots occurs only in pairs.
If f(x) is a third degree polynomial then by corollary to the fundamental theorem of algebra , it must have 3 roots.
But as complex roots occurs in pairs, thus there must be even number of complex roots.
So there is 2 complex distinct complex roots are possible in third degree polynomial.
- Corollary to the fundamental theorem states that every polynomial of degree n>0 has exactly n zeroes.