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Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer(i) (ii)
(iii)
(iv)
(v)
Asked by Divya Last Modified
Answer 
Tasneem
(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 term
is −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. It is not a polynomial.
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