Let I, `omega` and `omega^(2)` be the cube roots of unity. The least possible degree of a polynomial, with real coefficients having `2omega^(2), 3 + 4 omega, 3 + 4 omega^(2) ` and `5- omega - omega^(2)` as roots is -

Options

A. `4`
B. `5`
C. `6`
D. `7`

Answer

B

Explanation

`(b)` Roots are `alpha=2omega^(2)`, `beta=3+4omega`, `gamma=3+4omega^(2)`, `delta=5-omega-omega^(2)`
If `alpha=2omega^(2)` is a root, then `2omega` has to be a root too.