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

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Improper Algebraic Fractions
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What defines an improper algebraic fraction?

Numerator's degree is >= denominator's degree.

How to identify the degree of a polynomial?

It's the highest power of the variable in the expression.

What is the first step in simplifying an improper fraction?

Perform polynomial long division on the fraction.

What does the division of polynomials yield?

A quotient (polynomial) and a remainder.

How do you convert an improper fraction to a mixed number?

Divide numerator by denominator; use quotient and remainder.

What is the result of dividing x3x^3 by xx?

The result is x2x^2.

What do you do after finding the first quotient term?

Multiply by the denominator and subtract from the fraction.

What defines the quotient and remainder in division?

Quotient is the result, remainder is what's left over.

What is the GCD of two numbers used for in fractions?

To simplify fractions by dividing numerator and denominator.

Define a proper fraction.

A fraction with a numerator less than the denominator.

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