OCR MEI C1 2013 June — Question 8

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2013
SessionJune
TopicQuadratic Functions

8 Express \(3 x ^ { 2 } - 12 x + 5\) in the form \(a ( x - b ) ^ { 2 } - c\). Hence state the minimum value of \(y\) on the curve \(y = 3 x ^ { 2 } - 12 x + 5\).
\(9 \quad n - 1 , n\) and \(n + 1\) are any three consecutive integers.
  1. Show that the sum of these integers is always divisible by 3 .
  2. Find the sum of the squares of these three consecutive integers and explain how this shows that the sum of the squares of any three consecutive integers is never divisible by 3 .