The length of a rectangular garden is 3 metres more than twice its breadth. The area of the garden is 65m2.
(i) Let the breadth be x metres. Form a quadratic equation in x representing the given information.
(ii) Solve the quadratic equation and determine all possible values of the breadth.
(iii) For each admissible breadth obtained in part (ii), write the corresponding quadratic polynomial in factorised form.