Factorising Quadratics (AQA GCSE Maths): Flashcards

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Factorising quadratics
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What is factorising quadratics?

Expressing a quadratic expression as a product of two linear factors

Standard form of a quadratic equation

ax2+bx+c=0ax^2 + bx + c = 0

Coefficients in ax2+bx+c=0ax^2 + bx + c = 0

aa, bb, and cc

When a=1a=1, two numbers multiply to? add/subtract to?

Multiply to cc, add/subtract to bb

How to solve after factorising

Set each bracket equal to zero

When aeq1a eq 1, first terms in brackets multiply to?

Coefficient aa

Sign pattern when constant c>0c > 0

Both signs are the same (++ or --)

Sign pattern when constant c<0c < 0

Signs are different (+- or -+)

How to verify factorisation is correct

Expand brackets to check they give original equation

First step in factorising any quadratic

Rearrange into standard form ax2+bx+c=0ax^2 + bx + c = 0

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