More factorising - quadratics (OCR GCSE Maths): Flashcards

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More factorising - quadratics
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Type of term included in quadratic expression

Squared term

General form of quadratic expression

ax2+bx+cax^2+bx+c where aa, bb, cc are constants

Process that factorising quadratics reverses

Expanding brackets

In (x+m)(x+n)(x+m)(x+n), what mm and nn add to give

Coefficient of xx (which is bb)

In (x+m)(x+n)(x+m)(x+n), what mm and nn multiply to give

Constant term (which is cc)

Pattern for difference of two squares

a2b2a^2-b^2

Factorised form of a2b2a^2-b^2

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

x216x^2-16 factorised

(x+4)(x4)(x+4)(x-4)

For ax2+bx+cax^2+bx+c (a1a \neq 1), find numbers multiplying to

a×ca \times c

Method: rewriting middle term as two terms before factorising

Splitting the middle term

Technique: factor common terms from pairs

Factorising by grouping

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