Completing the Square

• Is an ancient method of converting quadratics from Standard to Vertex Form

• It contains Perfect Squares

STEPS:

1. Convert the equation into Standard Form

2. Bracket the first two terms

3. Factor out the coefficent in front of x²

4. In the bracket, add and subtract 'C' value to make a perfect square

5. Remove the negative 'C' value by multiplying it with the coefficent

6. Factor the bracket to make a Perfect Square

 

EXAMPLES: