OCR C2 2011 June — Question 6

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
TopicFactor & Remainder Theorem
TypeFind factor then solve

6 The cubic polynomial \(\mathrm { f } ( x )\) is defined by \(\mathrm { f } ( x ) = x ^ { 3 } + x ^ { 2 } - 11 x + 10\).
  1. Use the factor theorem to find a factor of \(\mathrm { f } ( x )\).
  2. Hence solve the equation \(\mathrm { f } ( x ) = 0\), giving each root in an exact form.