| Exam Board | OCR MEI |
| Module | C1 (Core Mathematics 1) |
| Topic | Quadratic Functions |
2
- Find the constants \(a\) and \(b\) such that, for all values of \(x\),
$$x ^ { 2 } + 4 x + 14 = ( x + a ) ^ { 2 } + b$$
- Write down the greatest value of \(\frac { 1 } { x ^ { 2 } + 4 x + 14 }\).