Question

1/X(X+5) is an expressions of polynomials or not. If not give reason?

Answer 1

It is not a polynomial bcoz 'x' is placed in the denominator.
According to the rules if any variable is in the denominator then it will not a polynomial



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Answer 2

Hey there! Thanks for the question!

Polynomial is a algebraic expression in which the power of the variables involved are non negative integral.

Here,
Given polynomial
$= \frac{1}{x(x + 5)}$
=
$\frac{1}{ {x}^{2} + 5x} \\ \\ = {( {x}^{2} + 5x)}^{ - 1}$

Powers of the variables are negative.

Therefore , $\frac{1}{x(x + 5)}$ being a expression involving non negative integral powers is not a polynomial.

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