What is meant by polynomials?

Polynomials: 

• Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
• To identify whether the given expression is polynomial, check if all the powers of the variables are whole numbers after simplification. If any of the powers is a fraction or negative integer then it's not a polynomial.

Example:

$2x^3 + 5x^2$ is a polynomial because the variables in the terms are raised to a whole number power.

$x^2 + \frac{1}{x}$ is not a polynomial, because the term $\frac{1}{x}$ is equal to $x^{-1}$ and its not a whole number. Therefore,  $x^2 + \frac{1}{x}$ is not a polynomial.

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Updated on: 10-Oct-2022

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