Factorisation Complete Square

Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Algebra - Factorisation - Completing the Square.
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The factorisation technique referred to as "Completing the Square" is one of the most versatile techniques both

for factorising a quadratic expression; and
for solving a quadratic equation.

It is certainly one of the aspects of mathematics you should be able to do really well. It will be referenced in many topics and in a diverse range of solutions.

Materials of direct relevance to the development of your understanding and your competence in the technique can be accessed by using the links below:

Learning area.	Resource
Completing the square - the basic approach.
Completing the square - extension of the basic technique to: odd coefficients for the x-term; non-monic quadratics.
Summary of the steps to follow when implementing the method.

Test Yourself.	Complete the square - various types - Test Yourself 1.
	Complete the square - various types - Test Yourself 1 - Solutions.
	Complete the square - various types - Test Yourself 2.
	Complete the square - various types - Test Yourself 2 - Solutions.