Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let
be the cube roots of unity. The least possible degree of a polynomial with real coefficients having roots
is
.
Text Solution
Verified by ExpertsThe correct answer is:
5
(5)
Roots are 
and
are conjugate to each other.
is complex root, then other root must be
(as complex roots occur in conjugate pair)

Hence, least degree of the polynomial is 5.
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