Edexcel C2 — Question 1

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
TopicFactor & Remainder Theorem
TypeFind constant, factorise completely
1. $$f ( x ) = 2 x ^ { 3 } - x ^ { 2 } + p x + 6$$ where \(p\) is a constant.
Given that \(( x - 1 )\) is a factor of \(\mathrm { f } ( x )\), find
  1. the value of \(p\),
  2. the remainder when \(\mathrm { f } ( x )\) is divided by \(( 2 x + 1 )\).
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