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Factorising non-monic quadratics

Factorise quadratics like 6x² + 7x − 3, where the x² coefficient is not 1, by splitting the middle term and grouping.

⏱ 20 min❓ 10 questions

What you'll be able to do

  • ✔I can take out a common factor before factorising a quadratic
  • ✔I can factorise ax² + bx + c by splitting the middle term and grouping
  • ✔I can check a factorisation by expanding

How this works

  1. 1Read the short explanations first — they teach you what you need before each question.
  2. 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
  3. 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.

What's inside

10 questions and 1 quick teaching card, including:

  • 🔘Multiple choice — Tap the answer you think is best, then check it.
  • 🔢Number answer — Work out the answer and type the number.

👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.

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Curriculum: AC9M10A03