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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.continue

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



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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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