Question

A polynomial equation has only imaginary roots and no real root. Which options CANNOT be the degree of that polynomial?

4
5
6
7
8
9

Answer 1

it cant be odd numbers

Answer 2

5, 7, 9 can't be the number of roots if you have only imaginary roots. Remember imaginary roots come in conjugate pairs. so if you only have imaginary roots, then you must have an even number of roots