Partial Fractions (Edexcel A-Level Mathematics): Flashcards

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Linear Denominators
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What is a linear denominator in a fraction?

It's a denominator that is a linear expression.

What is the method to simplify linear fraction expressions?

Factor the numerator and denominator, then cancel common factors.

Find the GCF of 2x+62x + 6 and x+3x + 3.

GCF is 2(x+3)2(x + 3). It factors to show common terms.

How to add fractions with different denominators?

Find a common denominator first.

Find the common denominator for (x+2)(x + 2) and (x1)(x - 1).

The common denominator is (x+2)(x1)(x + 2)(x - 1).

What is the common denominator for 1x+2+3x1\frac{1}{x+2} + \frac{3}{x-1}?

The common denominator is (x+2)(x1)(x+2)(x-1).

How to solve equations with linear denominators?

Multiply by least common denominator (LCD).

What is the first step to solve 2x+1+3x2=1\frac{2}{x+1} + \frac{3}{x-2} = 1?

Combine the fractions over a common denominator.

What do you do first to solve a fraction equation?

Multiply through by the common denominator.

What is the form of the resulting equation after simplification?

It will be a quadratic equation.

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