MathsYears 10–11Algebra

Quadratics — factorising

Factorise quadratic expressions including difference of two squares and where a > 1

What you'll learn

  1. 1

    Imagine a rectangle made of algebra tiles — the area is x² + 5x + 6. We can split it into two smaller rectangles that multiply together!

  2. 2

    What shape do we make to factorise x² + 5x + 6?

  3. 3

    Drag the tiles to build a rectangle for x² + 5x + 6. The x² tile goes in the top-left corner!

  4. 4

    Factorise x² + 7x + 10 together:

  5. 5

    Which two numbers multiply to 12 and add to 7?

  6. 6

    Now factorise x² + 8x + 12 — find the two numbers that multiply to 12 and add to 8.

  7. 7

    What is the factorised form of x² + 8x + 12?

Practise Quadratics — factorising with Whizlo

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