What does the fundamental theorem of algebra state about the equation 2x^2−6x+10=0 ? the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are x=3±i√11 . the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are x=3±i√11/2 . the fundamental theorem of algebra tells you that the equation will have two complex roots since the leading coefficient of the equation is 2. the roots are x=3±i√11 . the fundamental theorem of algebra tells you that the equation will have two complex roots since the leading coefficient of the equation is 2. the roots are x=3±i√11/2 .