Equations of the type

x 3 − 3x 2 + 4x + 10

are called polynomials.

 

Here,

        x 3 , −3x 2 , 4x , 10 are called terms of polynomials.

 

A Polynomial has

  • Variables like x, y with powers as whole numbers (0, 1, 2, 3, ....). If Power is not a whole number , the equation is not a polynomial.
  • constants like 10

 

 

 

 

Polynomial in one variable

In this chapter,

We will be studying polynomials which are in one variable, i.e. only has x or y, but not both.

 

Example - x 2 + 2x - 3 is a polynomial in one variable as there is only x

But x 2 + 2y - 3x = 0 is not a polynomial in one variable as there is both x and y. 

 

Is x 2 + 24y + 1 a  polynomial in one variable?

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Is y 4 – 10 a polynomial in one variable?

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Is 5x -2 + 1 a polynomial in one variable?

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Is  3x 1/2 + 2 a polynomial in one variable?

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Is 3 a polynomial in one variable?

View Answer

 

Note:

Constant numbers are also polynomials.

Example: 2, 3, 100, -988999 are all polynomials

  1. Chapter 2 Class 9 Polynomials
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.