Divisions Of Algebraic Expressions Continued (Polynomial + Polynomial)
Chapter Name : Factorization |
Sub Topic Code : 104_08_14_04_01 |
Topic Name : Divisions Of Algebraic Expressions Continued (Polynomial + Polynomial) |
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Sub Topic Name : Division Of Algebraic Expressions Continued (Polynomial + Polynomial) |
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Introduction
Write each term of the polynomial in irreducible (factor) form & try to match it with the denominator (which is also a polynomial)
Pre-Requisites:
Splitting a term into irreducible factors
Activity:
A polynomial can be divided by another polynomial using this technique only as long as there is a common factor existing between the numerator & the denominator. But, not all polynomials should have common factor. In such cases, you will learn a method called Horner’s long division method.
Real Life Question:
When algebraic expressions are a result of a number of engineering applications, how would they be divided with each other, if this operation requirement comes up?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Polynomial | An algebraic expression having four or more terms |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notepad | Make a list of polynomials 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 :
Today, most technology in the world is computer-oriented. Many applications involve programming in which polynomial division technique is one of the requirements
Places to visit :
Construction Site, Apartment Complex, Grocery stores
Practical examples around us
| Examples | Explainations |
|---|---|
| Programming | Many modern digital types of equipment like mobile phones require a technique called programming (for the display, functioning etc.) Here polynomial division is used pretty much. |
What you learn in Theory:
To divide a polynomial with another polynomial by identifying common factors between the two
What you learn in Practice:
Division of polynomials with another polynomials through this method is possible only if they have common factors