Factorising (Edexcel GCSE Maths): Flashcards

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Factorising
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Definition of factorising

Reverse process of expanding brackets

What to take out when factorising

Largest common factor from all terms

Expand 2x(x+3)2x(x+3)

2x2+6x2x^2 + 6x

Factorise 2x2+6x2x^2 + 6x

2x(x+3)2x(x+3)

First step in factorising

Look for largest factor in every term

How to check factorising answer

Expand the brackets back to original expression

Partial factorising

Taking out only some common factors, not largest

Complete factorising

Taking out largest possible common factor

Completely factorise 10x2+5x10x^2 + 5x

5x(2x+1)5x(2x+1)

Factorise y2+3yy^2 + 3y

y(y+3)y(y+3)

Factorise 2p24p2p^2 - 4p

2p(p2)2p(p-2)

Why 5(2x2+x)5(2x^2+x) is partial for 10x2+5x10x^2+5x

55 is not largest factor; 5x5x is

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