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Maharashtra State BoardSSC (English Medium) 9th Standard

State whether the given algebraic expression are polynomial? Justify. y+1y - Algebra

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Question

State whether the given algebraic expression are polynomial? Justify.

`y + 1/y`

Sum

Solution

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.

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Chapter 3: Polynomials - Practice Set 3.1 [Page 39]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 3 Polynomials
Practice Set 3.1 | Q 1. (i) | Page 39
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