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Expanding and Factorising Quadratics

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A quadratic expression has highest power 2 and is often written as:

x2+bx+c x^2 + bx + c x2+bx+c

Expanding removes brackets to create this form, and factorising puts the quadratic back into brackets.

To work accurately, you need to recognise terms, coefficients, and like terms. Like terms can be collected only if the variable and power match, which is why the two middle terms often combine after expansion.

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Question 1

2 marks

Expand and simplify (x+7)(x−3)(x + 7)(x - 3)(x+7)(x−3)

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In the expression 3x2−5x+73x^2 - 5x + 73x2−5x+7, which term is the constant term?

Expanding and Factorising Quadratics Revision Guide

  1. GCSE
  2. /Maths
  3. /Expanding and Factorising Quadratics

Revision notes for Edexcel GCSE Maths Expanding and Factorising Quadratics. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Writing a Ratio as a Fraction or Linear FunctionDirect and Inverse ProportionReverse PercentagesStandard FormSpeed and DensityChanging the Subject of a FormulaExpanding and Factorising QuadraticsSolving QuadraticsDrawing Quadratic GraphsDrawing Other Graphs: Cubic/ReciprocalSimultaneous EquationsSolving Simultaneous Equations GraphicallyMidpoint of a Line SegmentGradient of a LineEquation of a LineSpheres and ConesSector Areas and Arc LengthsSimilar Shapes (Lengths)SOHCAHTOA (Trigonometry)Exact trig valuesVectorsProbability TreesVenn Diagrams

Practise questions

1 of 5

Expand and simplify (x+4)(x−7)(x + 4)(x - 7)(x+4)(x−7).