Proper fractions with quadratic factors

Numerator degree is less than denominator degree, so direct partial fraction decomposition applies without polynomial division.

1 questions · Challenging +1.2

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OCR Further Pure Core 2 Specimen Q4

5 marks Challenging +1.2

It is given that \(\frac{5x^2+x+12}{x^2+kx} = \frac{A}{x} + \frac{Bx+C}{x^2+k}\) where \(k\), \(A\), \(B\) and \(C\) are positive integers. Determine the set of possible values of \(k\). [5]