Let I, and ² be the cube roots of unity. The least possible degree of a polynomial, with real coefficients, having 2 ~m ², 3+4 c , 3+4 c ² and 5- - ² as roots is-

Step-by-step solution

roots 2 ², 3+4 , 3+4 ², 5- - ² array c =5- ( + ² )=5-(-1)=6 array If =2 ² is a root then 2 has to be a root too. total .5 roots, hence min. degree 5