Answer:
Degree of polynomial → 4
Step-by-step explanation:
Conjugate roots theorem states that if a polynomial has a root (a + ib), then (a - ib) will be the other root.
In this question it has been given that a polynomial function has the zeros (roots) as x = [tex]\sqrt{3}[/tex], 4i and -2.
Therefore, the given polynomial will have four roots, [tex]\sqrt{3}[/tex], 4i, -4i and -2.
Function will be f(x) = (x - [tex]\sqrt{3}[/tex])(x + 4i)(x - 4i)(x + 2)
Degree of the polynomial → 4
