# Factorising and Completing the Square

## Greatest Common Factor

## Video

This video from *Maynooth University* explains how to factorise expressions by identifying the greatest common factor.

Note: All *Maynooth University* content is available for free at msc.maths.nuim.ie.

## Notes

These notes from MathCentre explain how to use the greatest common factor to factorise expressions.

A pdf of this document can be downloaded here.

## Interactive Exercises

Try the following NUMBAS exercises to test your factorising skills.

Please click here to view this NUMBAS question in another window.

## Factorising Quadratic Expressions

## Videos

These two videos from *Maynooth University* show how to factorise quadratic expressions.

Note: All *Maynooth University* content is available for free at msc.maths.nuim.ie.

## Interactive Exercises

Try the following NUMBAS exercises to practise solving quadratic equations by factorising.

Please click here to view this NUMBAS question in another window.

## Completing the Square

## Videos

These two videos from *Maynooth University* show how to complete the square for 2 different types of quadratic expressions.

Note: All *Maynooth University* content is available for free at msc.maths.nuim.ie.

Note: All *Maynooth University* content is available for free at msc.maths.nuim.ie.

## Notes

Read these notes from MathCentre to learn more about completing the square.

A pdf of this document can be downloaded here.

## Interactive Exercises

Try the following NUMBAS exercises to get some practice completing the square.

Please click here to view this NUMBAS question in another window.

## Factorising Cubic Polynomials

## Videos

These two videos from Maynooth University explain how to factorise cubic expressions. Note that the second video shows how long division can be used to factorise a cubic polynomial.

Note: All *Maynooth University* content is available for free at msc.maths.nuim.ie.

Note: All *Maynooth University* content is available for free at msc.maths.nuim.ie.

## Notes

The following notes from MathCentre are a resource for cubic polynomials and cubic equations. Pages 1-4 offer an introduction to cubic expressions, what a root means and a graphical interpretation of cubic functions. Try the exercises on page 4 to test your knowledge on factors and roots of cubic equations.

A pdf of this document can be downloaded here.