What Is Factorization?
Chapter Name : Factorization |
Sub Topic Code : 104_08_14_02_03 |
Topic Name : What Is Factorization? |
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Sub Topic Name : Factorization Using Identities |
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Introduction
(a + b)2 = a2 + 2ab + b2, (a – b)2 = a2 -2ab + b2, (a + b) (a – b) = a2 – b2
Pre-Requisites:
Meaning of factors, how to factorize simple & direct algebraic expressions.
Activity:
Such kind of problems need keen observation. They should be in the form of the expression on the right hand side of the identities. Then, they are directly obtained in the factorized form.
Real Life Question:
When a travel agent is offering discounts on travel packages, the resultant is a quadratic equation. How can they be solved in a simpler way?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
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| Factorizing monomials | Split the middle term in an irreducible way |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notepad | Look up for some quadratic expressions of this kind & practice solving them through identities |
Real life uses :
Any engineering application in the form of quadratic may be subject to this method of factorization/solving. However, it’s not restricted to this method alone.
Places to visit :
Construction Site, Shopping Mall
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
How to factorize an algebraic expression by using these identities
What you learn in Practice:
Although these identities lead to an effortless factorization, it is important to identify the pattern of the terms.