OCR Further Pure Core 2 Specimen — Question 4

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
SessionSpecimen
TopicPartial Fractions
TypeDetermine constants in partial fractions
4 It is given that \(\frac { 5 x ^ { 2 } + x + 12 } { x ^ { 3 } + k x } \equiv \frac { A } { x } + \frac { B x + C } { x ^ { 2 } + k }\) where \(k , A , B\) and \(C\) are positive integers.
Determine the set of possible values of \(k\).
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