Question

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

Answer 1

Answer:

Polynomials of degree 8 have exactly 8 roots

Step-by-step explanation:

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

$P(x)=a_0+a_1x+a_2x^2+...+a_nx^n$

with

$a_n\neq 0$

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

$x^2-4x+4$

x=2 is root twice.

Answer 2

Answer:

Answer D has exactly 8 roots on edg

Step-by-step explanation: