Friday, May 3, 2013

What is a Monomial in Math

Introduction of what is a monomial in math:

Polynomial:

Polynomial is an expression represented by constant numbers and variables.These expression may be contains terms from one to many.

Classification of polynomial:

Monomials
Binomials
Trinomials
In this chapter we will discuss about what is a monomial.

Monomials: In mathematics, an equation has a term alone is considered as a monomial. On the other hand we can say that an algebraic expression having a sole term is considered as monomial in maths.

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what is a monomial in math


What is monomial in math:

A monomial algebraic expression may have a single constant or the constant is join with the variable having powers. For example, the constant 90 alone is monomial. If it is joined with v2, then 90v2 is also monomial.

Operation performed in monomial:

Multiplication
Division
Multiplication:

Step 1: First multiply the constants.
Step 2: Now multiply the variables by adding the powers. This process is valid only for same variables.
Division:

Step 1: The constant are divided separately.
Step 2: The variables are divided by subtracting the powers of variables.

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Example problems for monomial in math:


Example: 1

What is the monomial term in the following choices?

a. 5698

b. 588+o

c. vy+123

d. 34-9

Solution:

The second answer contains a + sigh with two terms, third answer also contains + sign with two terms and the third answer contains fraction part as its power, so these all are not monomial. The first answer contains a single term of constant, so the answer is first choice.

Ans: 5698

Example: 2

What is the answer for the following monomial term?

Multiply: (15x) with (12x)

Solution:

Given, (15x)`xx` (12x)

Step 1: 15 `xx` 12=180

Step 2: x `xx` x=x(1+1)=x ^2

Step 3: The answer is 180x ^2

Example: 3

What is the answer for the following monomial term?

Divide: 90z6 `-:` 5z^2

Solution:

Given, 90z6 `-:` 5z^2

Step 1: Divide a constant terms. `90/5`=18

Step 2: Divide the variable terms. z6 `-:` z^2=`z^6/z^2` =z(6-2)=z4.

Step 3: The answer is 18z4.

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