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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 -A. `4`B. `5`C. `6`D. `7` |
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Answer» Correct Answer - B `(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. |
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