Factorising quadratics (Edexcel GCSE Maths): Flashcards

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Factorising quadratics
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Factorising quadratics means

Writing quadratic as product of 2 brackets

Process reversed by factorising

Expanding brackets

Basic rule: factorise x2+bx+cx^2 + bx + c

Find 2 numbers: add to bb, multiply to cc

If bb > 0 and cc > 0, signs in brackets

Both positive

If bb > 0 and cc < 0, signs in brackets

Larger +, smaller -

If bb < 0 and cc > 0, signs in brackets

Both negative

Difference of two squares: form

a2b2a^2 - b^2

a2b2a^2 - b^2 factorises to

(a+b)(ab)(a + b)(a - b)

3 requirements: difference of two squares

2 terms, perfect squares, minus sign

If constant negative, brackets have

One + and one -

Always do this after factorising

Check by expanding brackets

Number of brackets in factorised form

Two

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