Some of zeros of a polynomial with real coefficients are ω+2ω2,1+2ω – InterviewSolution

1.	Some of zeros of a polynomial with real coefficients are ω+2ω2,1+2ω,1+2ω2,ω and 1−ω−ω2, where ω is the cube root of unity. Then the minimum degree of the polynomial is
Answer» Some of zeros of a polynomial with real coefficients are $ω + 2 ω^{2}, 1 + 2 ω, 1 + 2 ω^{2}, ω$ and $1 - ω - ω^{2},$ where $ω$ is the cube root of unity. Then the minimum degree of the polynomial is

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