InterviewSolution
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InterviewSolution
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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. 4B. 5C. 6D. 8 |
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Answer» Correct Answer - B `{:("roots"rarr, 2omega^(2),3+4omega,3+4omega^(2),5-omega-omega^(2)),(,alpha,beta,gamma,delta):}` `delta = 5-(omega + omega^(2)) = 5 - (-1) = 6` If `alpha = 2omega^(2)` is a root then `2omega` has to be a root too. total `rarr` min. 5 roots, hence min. degree `rarr 5`. |
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