ASMaths: Pure 2CIERevision Notes1. Algebra & Functions1.2 Polynomials1.2.5 Top Heavy Rational Expressions

Top Heavy Rational Expressions (CIE AS Maths: Pure 2)

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Improper Algebraic Fractions

What are top-heavy (improper) rational expressions (or algebraic fractions)?

  • The degree of the numerator is greater than or equal to the degree of the denominator

Top Heavy Rational Expressions Notes Diagram 1, A Level & AS Level Pure Maths Revision Notes 

How do I simplify top-heavy rational expressions?

Top Heavy Rational Expressions Notes Diagram 2, A Level & AS Level Pure Maths Revision Notes

 

  • Write as a quotient and a remainder
  • The algebraic equivalent of changing a top-heavy fraction to a mixed number

 Top Heavy Rational Expressions Notes Diagram 3, A Level & AS Level Pure Maths Revision Notes

Examiner Tip

Remember that simple cases are sometimes the hardest to spot! Top Heavy Rational Expressions Exam Tip Diagram, A Level & AS Level Pure Maths Revision Notes 

Worked example

Top Heavy Rational Expressions Example Diagram, A Level & AS Level Pure Maths Revision Notes

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    Previous:1.2.4 Rational ExpressionsNext:1.3.1 Further Modelling with Functions
    Paul

    Author: Paul

    Expertise: Maths

    Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams – one of the many reasons he is excited to be a member of the SME team.