Division Of Algebraic Expressions
Chapter Name : Factorization |
Sub Topic Code : 104_08_14_03_02 |
Topic Name : Division Of Algebraic Expressions |
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Sub Topic Name : Division Of A Polynomial By A Monomial |
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Introduction
Write each term of the polynomial in irreducible (factor) form
Pre-Requisites:
Division of monomials, identifying common factor
Activity:
All the polynomials can be divided without much effort as long as the denominator is a monomial. When the denominator is a binomial or any further polynomial, then this technique does not apply or there are constraints for this technique to apply.
Real Life Question:
A monomial is simple to divide with by splitting into irreducible form & then cancelling out the common terms. How does this technique work for polynomial division with monomials?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Monomial | An algebraic expression having a single term |
| Polynomial | An algebraic expression having four or more terms |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notepad | Make a list of polynomials & monomials of your choice. Try to divide them with each other. See, which of the polynomials can be divided using this technique. Are there polynomials that cannot be divided using this technique? |
Real life uses :
Division of polynomial by monomial has not one particular real life use. These keep coming up in the sequence to achieving engineering solution.
Places to visit :
Construction Site, Apartment Complex, Grocery stores
Practical examples around us
| Examples | Explainations |
|---|---|
| Machinery manufacturing | While designing machinery, a decision has to be made by considering many criteria. Here, polynomial division plays one of the roles in making decision about the dimensions/criteria. |
What you learn in Theory:
To divide a polynomial with monomial, you need to identify common factor in all the terms of the polynomial & the denominator (monomial in this case) & strike them off.
What you learn in Practice:
Division of polynomials with monomials are critical in many daily life as well as engineering applications