Introduction
Chapter Name : Factorization |
Sub Topic Code : 104_08_14_01_02 |
Topic Name : Introduction |
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Sub Topic Name : Factors Of Algebraic Expressions |
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Introduction
Terms in the algebraic expressions are formed as a product of factors
Pre-Requisites:
Meaning of factors, prime factorization
Activity:
You will notice that the irreducible form means ‘cannot reduce into anything more’. For ex: the variable ‘x’ in an algebraic expression cannot be further split. 1 is a factor in this as well but it is not really specified.
Real Life Question:
How does the engineer arrive at the diameter of the pipe to be laid underground?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Factors | The numbers that are multiplied to get another number |
| Prime factorization | A number that is written in the form of ‘product of primes’. In the case of algebraic expressions, the word ‘irreducible’ may be used. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notepad | Try to factorize as many monomials as possible & write them in the ‘irreducible’ form |
Real life uses :
Most engineering problems are large complicated algebraic expressions unlike the ones you get in your school problems. In such a case, factorization is mandatory
Places to visit :
Grocery stores, Super market
Practical examples around us
| Examples | Explainations |
|---|---|
| Peanuts | If there are 12 peanuts per pack & n no. of people are buying it, having ‘x’ packs each, cost of each peanut being ‘p => Then, total cost would be a monomial as 12pxn. This can be factorized as 12 x p x x x n |
What you learn in Theory:
How basic, simple algebraic expressions can be expressed in the ‘irreducible’ form
What you learn in Practice:
Factorizing an algebraic expression makes the problem simpler