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Let  be the cube root of unity. The least possible degree of a polynomial with real coefficients having roots , is



Question ID - 153741 | SaraNextGen Top Answer

Let  be the cube root of unity. The least possible degree of a polynomial with real coefficients having roots , is

1 Answer
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Answer Key / Explanation : (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)

 which is real

Hence least degree of the polynomial is 5

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