OCR MEI C1 — Question 2

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
TopicQuadratic Functions

2
  1. Find the constants \(a\) and \(b\) such that, for all values of \(x\), $$x ^ { 2 } + 4 x + 14 = ( x + a ) ^ { 2 } + b$$
  2. Write down the greatest value of \(\frac { 1 } { x ^ { 2 } + 4 x + 14 }\).