Factorising Quadratics (Edexcel GCSE Maths): Flashcards

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Factorising quadratics
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Definition of factorising a quadratic

Expressing as product of two linear expressions in brackets

Standard format of quadratic equation

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

Condition on aa in standard quadratic format

aeq0a eq 0

When a=1a=1: numbers multiply to cc and add/subtract to?

bb (coefficient of xx)

Initial bracket format when a=1a=1

(xquad)(xquad)=0(x quad)(x quad) = 0

First step before factorising

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

How to check your factorisation

Expand the brackets back out

How to solve after factorising

Set each bracket equal to zero

Bracket setup example when aeq1a eq 1

E.g., (2xquad)(xquad)(2x quad)(x quad) or (3xquad)(xquad)(3x quad)(x quad)

Sign pattern when constant cc is positive

Both signs in brackets are the same

Sign pattern when constant cc is negative

Signs in brackets are different (one +, one -)

Type of solutions when aeq1a eq 1

More likely to be fractional

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