Let 1, ω,ω2 be the cube roots of unity. The least possible degree of a polynomial with real coefficients having roots 2ω,(2+3ω),2+3ω2,2−ω−ω2 is __________

Roots are 2ω,(2+3ω),2+3ω2,2−ω−ω2 2+3ω and 2+3ω2 are conjugate to each other.2ω is complex root, then other root must be2ω2 (as complex roots occur in conjugate pair) 2−ω−ω2=2−(−1)=3 which is real.Hence, least degree of the polynomial is 5.