Question

A polynomial equation has only imaginary roots and no real root. Which options cannot be the degree of that polynomial? (Select all that apply.)

2
3
4
6
7
8

Answer 1

3,7

Explanation:

Imaginary roots come in pairs, so if you have imaginary roots only, you have 2, 4, 6,8 roots

You cannot have an odd number

Since the number of roots is the degree of the polynomial, you cannot have a polynomial that has an odd degree

3,7 cannot be the degree of the polynomial