| Exam Board | Edexcel |
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2015 |
| Session | June |
| Topic | Factor & Remainder Theorem |
| Type | Given factor, find all roots |
1.
$$f ( x ) = 9 x ^ { 3 } - 33 x ^ { 2 } - 55 x - 25$$
Given that \(x = 5\) is a solution of the equation \(\mathrm { f } ( x ) = 0\), use an algebraic method to solve \(\mathrm { f } ( x ) = 0\) completely.
(5)