CBSE Class 9CBSE
Share
Notifications

View all notifications

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer - CBSE Class 9 - Mathematics

Login
Create free account


      Forgot password?

Question

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

`(i) 4x^2 - 3x + 7`

`(ii) y^2+sqrt2`

`(iii) 3sqrtt+tsqrt2`

`(iv) y+2/y`

`(v) x^10+y^3+t^50`

Solution

`(i) 4x^2 - 3x + 7`

Yes, this expressions ia polynomial in one variable x.

 

`(ii) y^2+sqrt2`

Yes, this expression is a polynomial in one variable y.

 

`(iii) 3sqrtt+tsqrt2`

No. It can be observed that the exponent of variable t in term `3sqrtt` is 1/2, which is not a whole number. Therefore, this expression is not a polynomial.

 

`(iv) y+2/y`

No. It can be observed that the exponent of variable y in term `2/y` is -1, which is not a whole number. Therefore, this expression is not a polynomial.

 

`(v) x^10+y^3+t^50`

No. It can be observed that this expression is a polynomial in 3 variables xy, and t. Therefore, it is not a polynomial in one variable.

  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Solution Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer Concept: Polynomials in One Variable.
S
View in app×