Monomials, Binomials And Polynomials
Chapter Name : Algebraic Expressions And Identities |
Sub Topic Code : 104_08_09_03_01 |
Topic Name : Monomials, Binomials And Polynomials |
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Sub Topic Name : Monomials, Binomials And Polynomials |
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Introduction
Depending on the number of terms having variables with non-zero coefficient and powers, an expression can be given a separate definition
Pre-Requisites:
Terms & coefficients, Exponents
Activity:
A waterfall. The path followed by a waterfall will have a definite polynomial equation which varies with the speed of the water, but the constants & coefficients depend on the land over which it is passing.
Real Life Question:
The no. of terms will decide the length of the algebraic expression. That will decide the method and the way of solving the expression.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Monomials | Expressions having ONE term |
| Binomial | Expressions having TWO terms |
| Trinomials | Expressions having THREE terms |
| Polynomial | Expressions having a single or many terms with non zero coefficients and powers |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
While making a dam, the shape of the dam is in the form of a polynomial equation
Places to visit :
Visit any Waterfall of your choice! :D
Practical examples around us
| Examples | Explainations |
|---|---|
| A pencil | The total amount you pay when you buy pencils depends on the no. of pencils you buy(x) & the cost of each pencil(Rs.3). So, Total Amt. = 3x {Monomial} |
What you learn in Theory:
About the dependency of the number of terms in any algebraic expression
What you learn in Practice:
The number of terms in an expression decides the kind of solution needed