Question

State whether the given algebraic expression are polynomial? Justify.

`y + 1/y`

Answer 1

In an algebraic expression, if the powers of the variables are whole numbers then the algebraic expression is a polynomial.

`y + 1/ y = y + y^(-1)`

Here, one of the powers of y is −1, which is not a whole number. So, `y+1/y` is not a polynomial.