According to the fundamental theorem of algebra, which polynomial function has exactly 8 roots?

Polynomials of degree 8 have exactly 8 roots

Step-by-step explanation:

The Fundamental Theorem of Algebra states that every polynomial of degree n

with

has exactly n roots.

But the roots may be complex numbers.

In your case n=8, so polynomials of degree 8 have exactly 8 roots.

The roots need not be different.

For example, for the polynomial

x=2 is root twice.