OCR C1 2011 January — Question 7

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2011
SessionJanuary
TopicQuadratic Functions

7
  1. Express \(4 x ^ { 2 } + 12 x - 3\) in the form \(p ( x + q ) ^ { 2 } + r\).
  2. Solve the equation \(4 x ^ { 2 } + 12 x - 3 = 0\), giving your answers in simplified surd form.
  3. The quadratic equation \(4 x ^ { 2 } + 12 x - k = 0\) has equal roots. Find the value of \(k\).