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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.

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User Guide   

Welcome to nubtrek.

The content is presented in small-focused learning units to enable you to
  think,
  figure-out, &
  learn.

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User Guide   

To make best use of nubtrek, understand what is available.

nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

  nub,

  trek,

  jogger,

  exercise.

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User Guide    

nub is the simple explanation of the concept.

This captures the small-core of concept in simple-plain English. The objective is to make the learner to think about. continue

User Guide    

trek is the step by step exploration of the concept.

Trekking is bit hard, requiring one to sweat and exert. The benefits of taking the steps are awesome. In the trek, concepts are explained with exploratory questions and your thinking process is honed step by step. continue

User Guide    

jogger provides the complete mathematical definition of the concepts.

This captures the essence of learning and helps one to review at a later point. The reference is available in pdf document too. This is designed to be viewed in a smart-phone screen. continue

User Guide    

exercise provides practice problems to become fluent in the concepts.

This part does not have much content as of now. Over time, when resources are available, this section will have curated and exam-prep focused questions to test your knowledge. continue

summary of this topic

Polynomials - Basics

Polynomials - Basics

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 »  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.

Variables in a Polynomial

plain and simple summary

nub

plain and simple summary

nub

dummy

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

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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


Keep tapping on the content to continue learning.
Starting on learning "Variables in a Polynomial". ;; Based on the number of variables in a polynomial, the polynomial is classified as polynomial of n variables.

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`
  • `(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`
  • `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`

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

How many variables are there in the polynomial `3`?

  • `3`
  • none

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

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

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.



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

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

  • `3`
  • `2`

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

your progress details

Progress

About you

Progress

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?
1
2
The answer is " 3x+7y ". An expression can have more than one variable.
How many variables are there in the polynomial x power 7 minus point 3 x power 5 plus point 6 7 x squared minus 3?
1
1
4
4
The answer is ' 1 '. This is an example of polynomial of one variable.
How many variables are there in the polynomial x squared minus y squared plus x y?
3
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
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, 2 variable, et cetera.
Classification of Polynomials Based on number of Variables: Polynomial of no variables is a constant. ;; Polynomial of 1 variable. ;; Polynomial of 2 variables. ;; and polynomials of n variables.
How many variables are there in the given polynomial?
3
3
2
2
The answer is ' 3 '. This is an example of polynomial of 3 variables.

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