What Is Factorization?
Chapter Name : Factorization |
Sub Topic Code : 104_08_14_02_02 |
Topic Name : What Is Factorization? |
|
Sub Topic Name : Factorization By Regrouping Terms |
|
Introduction
In some algebraic expressions which have four terms or so, two or more terms will have a common factor.
Pre-Requisites:
Meaning of factors, how to factorize simple & direct algebraic expressions
Activity:
Algebraic expressions need not always be readily placed for you to obviously identify the common factors. Observe such kind of haphazard polynomials & learn regrouping
Real Life Question:
Regrouping is a technique which is pretty often used to factorize polynomials with many terms.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Common Factor | A Factor that is common to all the terms in an algebraic expression |
| Regrouping | When the terms in an algebraic expression seem to have common factors, it is important to rearrange them for ease of factorization |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notepad | Make a list of your own algebraic expressions with many terms & learn to regroup. Regrouping can be mastered only with practice since it requires keen observation |
Real life uses :
Most programming techniques (used in computer games, mobile phones etc.) need regrouping techniques to club all the similar things under one category.
Places to visit :
Construction Site, Shopping Mall
Practical examples around us
| Examples | Explainations |
|---|---|
| Construction Site | While all the material arrives in bulk, for a particular job work, they regroup the material required for that particular work & then only the work proceeds |
| Clothes store | Go to any cloth store & you will find that clothes of one kind are placed at a particular spot |
What you learn in Theory:
How to factorize an algebraic expression with the method of regrouping & then identifying common factor, which is an algebraic expression again.
What you learn in Practice:
Algebraic expressions need keen observation of the problem because the common factor will not necessarily lie with the immediate next term