Answer:
Options B and E
Step-by-step explanation:
Given that a polynomial equation has only imaginary roots.
Since the polynomial has real coefficients, the imaginary roots can only occur in pairs as each conjugate of the other.
In other words, the polynomial can have only an even number of imaginary roots.
Since all roots are imaginary, the polynomial can have degrees as even number only
either 2 or 4 or 6 or 8
It is not possible for the polynomial to have degrees as 3,7
Hence answers are
options B and E
