| Exam Board | OCR MEI |
|---|
| Module | C1 (Core Mathematics 1) |
|---|
| Topic | Factor & Remainder Theorem |
|---|
| Type | Remainder condition |
|---|
8 One root of the equation \(x ^ { 3 } + a x ^ { 2 } + 7 = 0\) is \(x = - 2\). Find the value of \(a\).
\(9 n\) is a positive integer. Show that \(n ^ { 2 } + n\) is always even.