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5Solution :

Roots are `2omega, (2+3omega),(2+3omega^(2)),(2-omega-omega^(2))` <br> `2+3omega and 2 + 3omega^(2)` are conjugate to each other. <br> `2omega` is complex root, then other root must be `2omega^(2)` (as complex roots occur in conjugate pair) <br> `2-omega - omega^(2) = 2 -(-1) = 3` which is real. <br> Hence, least degree of the polynomial is 5.