Improper Algebraic Fractions (AQA A-Level Mathematics): Flashcards

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Improper Algebraic Fractions
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Improper algebraic fraction

Numerator degree ≥≥ denominator degree

Degree of polynomial

Highest power of variable

Method to simplify improper fractions

Polynomial division

Simplified form: Quotient + ?

RemainderDenominator\frac{\text{Remainder}}{\text{Denominator}}

The quotient in polynomial division is

A polynomial

RemainderDenominator\frac{\text{Remainder}}{\text{Denominator}} is a

Proper fraction

Full name of division method

Polynomial long division

Components of simplified improper fraction

Polynomial + proper fraction

First step to simplify improper fraction

Identify the degree

Polynomial division produces

Quotient and remainder

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