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Maths Exercices

Complete the square

With quadratic expression like x2 + bx, you can complete the square by adding


Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

x2 + 8x +


Add to complete the square.


x2 + 8x +

= x2 + 8x +   Plug in b=8
       
= x2 + 8x +   Divide
       
= x2 + 8x + 42   Square
       
= x2 + 8x + 16    

This quadratic can be written as a square, (x + 4)2, so it is a perfect-square quadratic.

The number needed to complete the square was 16.


Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

g2-6g +