Multiplying A Polynomial By A Polynomial
Chapter Name : Algebraic Expressions And Identities |
Sub Topic Code : 104_08_09_09_01 |
Topic Name : Multiplying A Polynomial By A Polynomial |
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Sub Topic Name : Multiplying A Binomial By A Binomial |
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Introduction
Use the distributive law for the multiplication of binomial and binomial.
Pre-Requisites:
Algebraic Expressions, Terms, coefficients, variables
Activity:
The expression for area of modified figure involves multiplication of binomials => (l+x) x (b+y). You can add/remove any no. of matchsticks you want & play!
Real Life Question:
If there are 3 groups of ‘a’ men & ‘b’ women and each of the groups is ordering food worth Rs.x & drinks worth Rs. y, then what is the total cost to be borne?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Multiplication of binomial & binomial | Take them as no.s. Multiply each term using the distributive law. Result is a trinomial. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Ice cream & match sticks | Make a rectangle with icecream sticks; having length ‘l’ & breadth ‘b’. Now, add the match sticks to the same & increase the length by ‘x’ & the breadth by ‘y’. Find area |
Real life uses :
Grocery, ware houses, census, traffic flow
Places to visit :
Grocery store, Games shop, Construction site
Practical examples around us
| Examples | Explainations |
|---|---|
| Travel agents | When travel agents give packages to their customers, they reduce the cost for each person, when there are more people travelling. The total cost in this case involves multiplication of binomials |
What you learn in Theory:
How to multiply two binomials. Actually, you will expect four terms. But two of them will be like terms & hence, the result is a trinomial
What you learn in Practice:
When two cases/situations come into picture, binomial multiplication may arise.