let x = a be a root of the polynomial p(x) = x^4 + Ax^3 + Bx^2 + Ax + 1
where (2+B)^2 is not equal to 4A^2
(i) show that a cannot be o, -1 or 1
(ii) show that x = 1/a is a root
(iii) Deduce that if a is a multiple root, then its multiplicity is 2 and 4B = 8 + A^2
Ok i, and ii...