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
    Solve (x−3)(x+2)=0(x - 3)(x + 2) = 0
    Level 1 · 1 markTry it
  2. 2
    Solve x2+5x+6=0x^2 + 5x + 6 = 0
    Level 2 · 2 marksTry it
  3. 3
    Solve x2−4x=0x^2 - 4x = 0
    Level 2 · 2 marksTry it
  4. 4
    Solve x2+3x−10=0x^2 + 3x - 10 = 0 (3 marks)
    Level 3 · 3 marksTry it
  5. 5
    Solve x2−5x−24=0x^2 - 5x - 24 = 0 (3 marks)
    Level 3 · 3 marksTry it

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