Question

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

Answer 1

A third-degree polynomial function can have at most three distinct complex roots.

Step-by-step explanation:

A third-degree polynomial function can have at most three distinct complex roots. This is because the fundamental theorem of algebra states that a polynomial of degree n has exactly n complex roots, counting multiplicity. Since 3 is the degree of the polynomial in question, it can have up to three distinct complex roots.

Answer 2

Good evening ,

Answer:

There are exactly 3 complex roots and that is due to the fundamental theorem of Algebra.

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