8. (i) Express \(3 x ^ { 2 } - 12 x + 11\) in the form \(a ( x + b ) ^ { 2 } + c\).
(ii) Sketch the curve with equation \(y = 3 x ^ { 2 } - 12 x + 11\), showing the coordinates of the minimum point of the curve. Given that the curve \(y = 3 x ^ { 2 } - 12 x + 11\) crosses the \(x\)-axis at the points \(A\) and \(B\),
(iii) find the length \(A B\) in the form \(k \sqrt { 3 }\).