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Which of the following expressions are ...

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) `4x^2-3x+7`
(ii) `y^2+sqrt(2)`
(iii) `3sqrt(t)+tsqrt(2)`
(iv) `y+2/y`
(v) `x^(10)+y^3+t^(50)`

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To determine which of the given expressions are polynomials in one variable, we need to check each expression based on the definition of a polynomial. A polynomial in one variable is an expression that can be written in the form: \[ a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0 \] where: - \( a_n, a_{n-1}, ..., a_0 \) are coefficients (which can be any real numbers), - \( n \) is a non-negative integer (whole number), - and there is only one variable present. ...
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