What Is Factorization?
Chapter Name : Factorization |
Sub Topic Code : 104_08_14_02_01 |
Topic Name : What Is Factorization? |
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Sub Topic Name : Method Of Common Factors |
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Introduction
While some algebraic expressions are directly available in factor form, some others are complicated & need techniques to be factorized.
Pre-Requisites:
Meaning of factors, prime factorization, how to factorize simple & direct algebraic expressions
Activity:
Take your newspaper magazine & try to solve the ‘Find the common differences’ puzzle. This is again not a mathematical activity, but useful in improving your skills.
Real Life Question:
In the sport shot put, the ball follows a path whose equation is a quadratic. How to solve this?
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 |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Puzzle | This technique is about identifying anything common. This is not mathematical but solving puzzles will improve your ability in identifying anything common. |
Real life uses :
Digital communication like television, radio etc. require programming which in turn needs basics of algebraic expressions & their factorization techniques
Places to visit :
Newspaper stall, Magazine store, Games store
Practical examples around us
| Examples | Explainations |
|---|---|
| Games | This is not for your direct understanding, but knowledge. Programming the games involves factorization of complex polynomials. Many a times, identifying & eliminating the common element helps to a great extent. |
What you learn in Theory:
How to factorize an algebraic expression with the method of common factors
What you learn in Practice:
Factor form of an expression has only one term