| Exam Board | Edexcel |
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | January |
| Topic | Factor & Remainder Theorem |
| Type | Given factor, find all roots |
1.
$$f ( x ) = 2 x ^ { 3 } - 8 x ^ { 2 } + 7 x - 3$$
Given that \(x = 3\) is a solution of the equation \(\mathrm { f } ( x ) = 0\), solve \(\mathrm { f } ( x ) = 0\) completely.