Multiplying A Monomial By A Polynomial
Chapter Name : Algebraic Expressions And Identities |
Sub Topic Code : 104_08_09_08_02 |
Topic Name : Multiplying A Monomial By A Polynomial |
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Sub Topic Name : Multiplying A Monomial By A Trinomial |
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Introduction
Use the distributive law for the multiplication of monomial and trinomial.
Pre-Requisites:
Algebraic Expressions, Terms, coefficients, variables
Activity:
Total area contributed by these are: (10x + 15y + 8z)-which is a trinomial. Suppose there are ‘n’ sets of same kind in East & West. Then, total area = (2n) x ( 10x + 15y + 8z)
Real Life Question:
If ‘n’ people are going on a pilgrimage & their package with food ‘f’, water ‘w’ & travel ‘t’, f & w given 3 times each a day, what is the total cost of the group?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Multiplication of trinomial & monomial | 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 |
|---|---|
| Pink, Red, white, orange blocks | Assume you are learning about the country of India. Let red represent the North Indian cities having area ‘x’, white represent cities having area ‘y’ & pink-the cities having area ‘z’. U found out there are 10 cities of x sq.units, 15 cities with y sq.units & 8 cities with z sq units. Then, find the total area contributed by these |
Real life uses :
Grocery, ware houses, census, traffic flow
Places to visit :
Grocery store, Games shop, Construction site
Practical examples around us
| Examples | Explainations |
|---|---|
| Construction of columns/pillars | A lot of variables need to be considered while constructing a particular column. These won’t be just monomials or binomials. Most of the times, it’s a trinomial or a still higher order polynomial. |
What you learn in Theory:
How to multiply trinomial & monomial. It is with the help of the distributive law that we are able to multiply the two expressions term by term
What you learn in Practice:
Many a times, cases with multiple variables come up. In such a scenario, we come across multiplication of monomials with trinomials.