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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsIntroduction to Algebra, Polynomials, and IdentitiesPolynomials - Basics

### Variables in a Polynomial

Based on the number of variables in a polynomial, the polynomial is classified as polynomial of n variables.

click on the content to continue..

The price of a pencil is 3 coins and a pen is 7 coins. For how many coins does a person buy x pencils and y pens?

• 3x+7y
• 3x+7y
• (3+7)xy

The answer is '3x+7y'. An expression can have more than one variable.

How many variables are there in the polynomial x^7-.3x^5+.67x^2-3?

• 1
• 1
• 4

The answer is '1'. This is an example of polynomial of one variable.

How many variables are there in the polynomial x^2-y^2+xy?

• 3
• 2
• 2

The answer is '2'. This is an example of polynomial of two variables.

How many variables are there in the polynomial 3?

• 3
• none
• none

The answer is 'none'. This can be considered as a polynomial without a variable.

Based on number of variables polynomials are classified as polynomial of 1 variable, polynomial of 2 variables, etc.

Classification of Polynomials Based on number of Variables:

•  Polynomial of no variables : a constant. eg: 4

•  Polynomial of 1 variable. eg: 4x^5+x^2-3

•  Polynomial of 2 variables. eg: 3.2x^5y^2+.23xy-3x^2+y-9.

And polynomials of n variables.

Solved Exercise Problem:

How many variables are there in the polynomial x^2-y^2+z^2+xyz+2xy-2yz+3xz?

• 3
• 3
• 2

The answer is '3'. This is an example of polynomial of 3 variables.

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