Question

What is the degree of the simplest polynomial function with zeros at the square root of 3, 4i, and -2.

Answer 1

Degree of polynomial → 4

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 =
`√(3)`, 4i and -2.

Therefore, the given polynomial will have four roots,
`√(3)`, 4i, -4i and -2.

Function will be f(x) = (x -
`√(3)`)(x + 4i)(x - 4i)(x + 2)

Degree of the polynomial → 4