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

Answer:

0 or 2

Step-by-step 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.

Answer 2

Answer:

A: 0 or 2

Step-by-step explanation:

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