OCR C4 2008 June — Question 1

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2008
SessionJune
TopicPolynomial Division & Manipulation

1
  1. Simplify \(\frac { \left( 2 x ^ { 2 } - 7 x - 4 \right) ( x + 1 ) } { \left( 3 x ^ { 2 } + x - 2 \right) ( x - 4 ) }\).
  2. Find the quotient and remainder when \(x ^ { 3 } + 2 x ^ { 2 } - 6 x - 5\) is divided by \(x ^ { 2 } + 4 x + 1\).