Completing the square

What you'll learn

1. 1

   Imagine you have a square made of 1x1 tiles. Completing the square means adding just enough tiles to make a perfect square again.

2. 2

   What do you add to a broken square to make it whole again?

3. 3

   Drag tiles to complete the square for x² + 4x. How many tiles do you need to add?

4. 4

   Let's complete the square for x² + 6x. We'll do it step by step.

5. 5

   What number do you add to complete the square for x² + 8x?

6. 6

   Now try x² + 10x. Use the tiles to find the number you need to add.

7. 7

   Which expression is x² + 6x rewritten after completing the square?