Edexcel C2 — Question 2

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
TopicFactor & Remainder Theorem
TypeFind constant, factorise completely
2. $$f ( x ) = x ^ { 3 } + k x - 20 .$$ Given that \(\mathrm { f } ( x )\) is exactly divisible by ( \(x + 1\) ),
  1. find the value of the constant \(k\),
  2. solve the equation \(\mathrm { f } ( x ) = 0\).
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