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Following expression is polynomial in one variable or not? State reason for your answer. y+2y - Mathematics

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Question

Following expression is polynomial in one variable or not? State reason for your answer.

`y+2/y`

One Line Answer
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Solution

We have `y+2/y` = y + 2 . y-1

It is not a polynomial because one of the exponents of y is -1, which is not a whole number.

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Chapter 2: Polynomials - Exercise 2.1 [Page 32]

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NCERT Mathematics [English] Class 9
Chapter 2 Polynomials
Exercise 2.1 | Q 1. (iv) | Page 32

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