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

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

1 Answer

127 votes

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 |

127 votes

127