| Exam Board | Edexcel |
| Module | Paper 1 (Paper 1) |
| Year | 2021 |
| Session | October |
| Topic | Factor & Remainder Theorem |
| Type | Single unknown constant |
1.
$$f ( x ) = a x ^ { 3 } + 10 x ^ { 2 } - 3 a x - 4$$
Given that \(( x - 1 )\) is a factor of \(\mathrm { f } ( x )\), find the value of the constant \(a\).
You must make your method clear.