Question

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

OOor 2
O 0, 1, 2, or 3
1 or 2
O 1, 2, or 3

Answer 1

A: 0 or 2

Explanation:

on edge

Answer 2

0 or 2

Explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n roots.

Since degree 3 then there are 3 possible roots

Since complex roots occur in conjugate pairs then

There can be 0 or 2 complex roots.