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

(i)


(ii)


(iii)


(iv)


(v)


(i) There is only one variable x with whole number power so this polynomial in one variable

(ii) There is only one variable y with whole number power so this polynomial in one variable


(iii) There is only variable t but in 3 power of t is 1/2 which is not a whole number so 3 + t is not a polynomial


(iv) There is only one variable y but 2/y = 2y – 1 so the power is not a whole number so y + 2/y is not a polynomials


(v) There are three variable x, y and t and their powers are whole number so this polynomial in three variable


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