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Factorising monic quadratics

Reverse binomial expansion by finding two numbers with a given sum and product to factorise quadratics like x² + 7x + 12.

⏱ 20 min❓ 10 questions

What you'll be able to do

  • ✔I can factorise x² + bx + c by finding two numbers that multiply to c and add to b
  • ✔I can use the signs of b and c to decide the signs in the factors
  • ✔I can take out a common factor first and check my factors 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.
  • ✏️Fill in the blank — Type the missing word to complete the sentence.

👪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: AC9M9A02