Highest Common Factor (Leaving Cert Mathematics): Flashcards

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Highest Common Factor
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Definition of factorisation

Breaking down a number/expression into a product of simpler factors

When factors are multiplied together, what do they give?

The original quantity

Example factorisations of 1212

(3)(4)(3)(4) or (2)(2)(3)(2)(2)(3)

Highest common factor (HCF) definition

Largest term dividing evenly into all terms in an expression

Common coefficient in 4x2+8x−12x34x^2 + 8x - 12x^3

44

Common variable in 4x2+8x−12x34x^2 + 8x - 12x^3

xx

HCF of 4x2+8x−12x34x^2 + 8x - 12x^3

4x4x

First factorisation of 4x2+8x−12x34x^2 + 8x - 12x^3

4(x2+2x−3x3)4(x^2 + 2x - 3x^3)

Complete factorisation of 4x2+8x−12x34x^2 + 8x - 12x^3

4x(x+2−3x2)4x(x + 2 - 3x^2)

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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The Basics

Algebraic Fractions

Factorisation

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