Factorising (VCE SSCE Mathematical Methods): Flashcards

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Factorising
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Factorising definition

Expressing expression as product of factors

Four main types of factorisation

Common factors, grouping, difference of squares, quadratics

Common factors: what to extract

Largest factor common to all terms

Grouping method: number of terms

Four terms

Difference of two squares formula

a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b)

Difference of squares: works for addition?

No, only subtraction

Monic quadratic definition

Coefficient of x2x^2 is 1

Monic quadratic: two numbers must...

Multiply to cc, add to bb

AC method: two numbers must...

Multiply to acac, add to bb

How to verify factorisation

Expand brackets to check original expression

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