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Factorising

Mathematics & Statistic Tutor Perth - SPSS Help   

Simply Fun Factorising

Question
What is factorising?

Answer
This is rearranging the expression so we have terms
(or letters) that are multiplied usually in brackets.  We use Algebra following certain rules.

Question
What is Algebra?

Answer
A letter can represent an object, price, etc...   It can be thought as a case of shorthand with letters. This means that we will get expressions that have letters rather than the full titles of objects each time.

Question
Why do we do factorising?

Answer
To make your calculations easier but often it is the first stumbling block in a long list!

Question
What do the brackets mean?

Answer
The brackets indicate that the items are multiplied
so (****)(****) means
 (****) multiplied by (****)

Question
Why do we do bother factorising again?

Answer
To shorten the expression by not writing the same letters over and over

Question
Is there only one type of factorising?

Answer
No, there are lots and you will have to choose depending on the expression. Sometimes you may have to use more than one type to fully factorise your expression!

We use factorising to solve equations, so all variables are one side and on the other side zero.  We factorise so on one side we have terms multiplied together and zero on the other side.
Follow this link to ways of     Solving Quadratics Equations


Types of Factorising
 


Common Factors
 


Quadratic Factors
 


Difference of Two Squares
 


Completing the Square
 

Here is an example of how any number may be rewritten, you will notice that although the appearance is different but the answer is the same.

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