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

**Solution:**

**(i) ** **(ii) **** (iii) **** **

** (iv) **** (v) **

**Solution (i)**

It is a polynomial in one variable because there is just one variable and exponent of is a whole number in all the terms.

**Solution (ii)**

It is a polynomial in one variable because there is just one variable and exponent of is a whole number.

**Solution (iii)**

It is not a polynomial because exponent of variable is not a whole number in the term .

**Solution (iv)**

It is not a polynomial because exponent of is not a whole number in the term ()

**Solution (v)**

It is not a polynomial in one variable but it is a polynomial in 3 variables. All the variables have exponents as whole numbers.