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# 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.