maths y9 quadratics

What you'll learn

1. 1

   Imagine you have a square tile with side length x. Its area is x × x, which we write as x².

2. 2

   Here's a picture of x² + 3x as a big square and a rectangle stuck together.

3. 3

   Let's turn x² + 5x + 6 into brackets.

4. 4

   Drag the tiles to build x² + 7x + 12 as a rectangle. Then find the bracket pair.

5. 5

   Which pair of numbers multiply to 12 and add to 7?

6. 6

   Now try x² - 4x - 12. The numbers multiply to -12 and add to -4.

7. 7

   What is the factorised form of x² - 9? (Hint: it's a difference of two squares.)