AQA C4 2005 June — Question 3

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2005
SessionJune
TopicPolynomial Division & Manipulation
3
  1. Find the remainder when \(2 x ^ { 3 } - x ^ { 2 } + 2 x - 2\) is divided by \(2 x - 1\).
  2. Given that \(\frac { 2 x ^ { 3 } - x ^ { 2 } + 2 x - 2 } { 2 x - 1 } = x ^ { 2 } + a + \frac { b } { 2 x - 1 }\), find the values of \(a\) and \(b\).
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