| Exam Board | OCR MEI |
|---|
| Module | FP1 (Further Pure Mathematics 1) |
|---|
| Year | 2012 |
|---|
| Session | June |
|---|
| Topic | Roots of polynomials |
|---|
3 The cubic equation \(3 x ^ { 3 } + 8 x ^ { 2 } + p x + q = 0\) has roots \(\alpha , \frac { \alpha } { 6 }\) and \(\alpha - 7\). Find the values of \(\alpha , p\) and \(q\).