Multiplying A Polynomial By A Polynomial
Chapter Name : Algebraic Expressions And Identities |
Sub Topic Code : 104_08_09_09_02 |
Topic Name : Multiplying A Polynomial By A Polynomial |
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Sub Topic Name : Multiplying A Binomial By A Trinomial |
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Introduction
Use the distributive law for the multiplication of binomial and trinomial.
Pre-Requisites:
Algebraic Expressions, Terms, coefficients, variables
Activity:
Actually, the set exists for ‘n’ families. However, if 3 families have backed out, you must be charged for a total cost of (n-3) x (6o + 10a + 9g)
Real Life Question:
If there are n groups of ‘a’ men & ‘b’ women and each of the groups is ordering food worth Rs.x , drinks worth Rs. y and the cost of each for ladies is Rs.10 less than that for men, then what is the total cost to be borne?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Multiplication of binomial & trinomial | Take them as no.s. Multiply each term using the distributive law. Result is a polynomial with four terms |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Oranges, Apples & guavas | A set of oranges (o) of Rs.6 each, apples (a) of Rs. 10 each & guavas (g) Rs. 9 are to be given to ‘n’ families in your house (Assuming a joint family). If 3 families refused to take that set, then calculate the total cost. |
Real life uses :
Grocery, ware houses, census, traffic flow
Places to visit :
Grocery store, Games shop, Super Markets, Travel Agency
Practical examples around us
| Examples | Explainations |
|---|---|
| Wholesale grain Market | A lot of additions & subtractions of sales keeps happening in wholesale grain markets. Many cases involve multiplication of binomials & trinomials depending on the agreement between the retailer & the wholesale distributor. |
What you learn in Theory:
How to multiply a binomial & a trinomial. Actually, you will expect five terms. But two of them will be like terms & hence, the result is a polynomial with four terms.
What you learn in Practice:
When multiplying any two polynomials in general, it must be kept in mind that the like terms will arise & they must be grouped together, added/subtracted and written as one term