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

(i) y + (2/y)

(ii) x10 + y3 + t50

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(i) y + (2/y)

NoNo. It can be observed that the exponent of variable y in term 2/y is -1,which is not a whole number. Therefore, this expression is not a polynomial.

(ii) x10 + y3 + t50

No. It can be observed that this expression is a polynomial in 3 variables x, y, and t. Therefore, it is not a polynomial in one variable.

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