Which of the following expression are polynomials in one variable and which are not?
State reason for your answer.
i)\(4x^2 - 3x + 7\)
ii)\(y^2 + \sqrt{2}\)
iii)\(3\sqrt{t} + t\sqrt{2}\)
iv)\(y + \frac{2}{y} \)
v)\(x^{10} + y^3 + t^{50}\)

i) \(4x^2 - 3x + 7\) is a polynomail in one variable. As it is having only non-negative integral powers of x.


ii)\(y^2 + \sqrt{2}\) is also a polynomial in one variable. As it is having only non-negative integral power of y.


iii)\(3\sqrt{t} + t\sqrt{2}\) is not a polynomial. As the integral power of the variable is not a whole number.


iv)\(y + \frac{2}{y} \) is not a polynomial. As it having a negative integral power of y.


v) \(x^{10} + y^3 + t^{50}\) is a polynomial with three variables.