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