Improper fractions with quadratic factors

Numerator degree equals or exceeds denominator degree, requiring polynomial long division before partial fraction decomposition.

2 questions · Standard +0.8

1.02y Partial fractions: decompose rational functions

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OCR FP2 2009 June Q4

6 marks Standard +0.8

4 Express \(\frac { x ^ { 3 } } { ( x - 2 ) \left( x ^ { 2 } + 4 \right) }\) in partial fractions.

OCR Further Pure Core 1 2024 June Q5

5 marks Standard +0.8

5 Express \(\frac { 12 x ^ { 3 } } { ( 2 x + 1 ) \left( 2 x ^ { 2 } + 1 \right) }\) using partial fractions.