Rational Expressions (Cambridge (CIE) A Level Maths) : Revision Note
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Rational Expressions (Algebraic Fractions)
What are rational expressions?
Rational numbers are numbers that can be written as a fraction (quotient)
Rational comes from ratio – a number is rational if it can be written as a ratio of two integers – ie a fraction!
A rational expression is an algebraic fraction
The ratio between two algebraic expressions (usually polynomials)

Factor theorem
In order to simplify a rational expression you'll need to remember the factor theorem

How to simplify a rational expression (algebraic fraction)

Start by factorising polynomials using factor theorem or algebraic division
Simplify

cancel any common (linear) factors

recognise a top-heavy (improper) rational expression, simplify if needed
Worked Example

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