GCSE · Quadratic equations

Solving quadratics by factorisingExam-style questions

Solve an equation with an $x^2$ in it by splitting it into two brackets. Eight short parts, from why zero makes it work to what the two answers look like on a graph, then the exam questions.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    (a) Factorise y2−81y^2 - 81

    (b) Solve x2=7xx^2 = 7x
    Level 4 · 4 marksTry it
  2. 2
    Solve 2x2+7x−15=02x^2 + 7x - 15 = 0
    Level 4 · 3 marksTry it
  3. 3
    Solve x(x+2)=24x(x + 2) = 24
    Level 4 · 3 marksTry it
  4. 4
    Solve 3x2−10x+8=03x^2 - 10x + 8 = 0
    Level 4 · 3 marksTry it
  5. 5
    Solve x2=5x+36x^2 = 5x + 36
    Level 4 · 3 marksTry it