Question

If f(x) is a third degree polynomial function, how many distinct complex roots are possible

Answer 1

2.
You will have on real root, and two complex which derives from the 3rd degree polynomial function.

Answer 2

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.