Let `1, omega,omega^(2)` be the cube roots of unity. The least possible degree of a polynomial with real coefficients having roots `2omega, (2+3omega),(2+ 3omega^(2)),(2-omega-omega)` is_____.

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 -

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 -

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 -

Let 1,w,w^(2) be the cube root of unity.The least possible degree of a polynomial with real coefficients having roots 2w,(2+3w),(2+3w^(2)),(2-w-w^(2)) is

If 1, omega, omega ^(2) are the cube roots of unity , then w^2=

Let 1,w,w^2 be the cube root of unity. The least possible degree of a polynomial with real coefficients having roots 2w ,(2+3w),(2+3w^2),(2-w-w^2) is _____________.

Let 1,w,w^2 be the cube root of unity. The least possible degree of a polynomial with real coefficients having roots 2w ,(2+3w),(2+3w^2),(2-w-w^2) is _____________.

Let 1,w,w^2 be the cube root of unity. The least possible degree of a polynomial with real coefficients having roots 2w ,(2+3w),(2+3w^2),(2-w-w^2) is _____________.

If 1, omega, omega^(2) are three cube roots of unity, prove that (1- omega) (1- omega^(2))= 3

If 1, omega omega^(2) are the cube roots of unity show that (1 + omega^(2))^(3) - (1 + omega)^(3) = 0