Question

# Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) (ii) (iii) (iv) (v)

Open in App
Solution

## (i) Yes, this expression is a polynomial in one variable x. (ii) Yes, this expression is a polynomial in one variable y. (iii) No. It can be observed that the exponent of variable t in term is , which is not a whole number. Therefore, this expression is not a polynomial. (iv) No. It can be observed that the exponent of variable y in termis −1, which is not a whole number. Therefore, this expression is not a polynomial. (v) No. It can be observed that this expression is a polynomial in 3 variables x, y, and t. Therefore, it is not a polynomial in one variable.

Suggest Corrections
1
Explore more