is it a polynomial? 2x^2 +3x−(2/x^(−2) )


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Question Number 206036 by Davidtim last updated on 05/Apr/24

$i s i t a p o l y n o m i a l ?$ $2 x^{2} + 3 x - \frac{2}{x^{- 2}}$
	Answered by Frix last updated on 05/Apr/24

	$\frac{2}{x^{- 2}} = 2 x^{2} \Rightarrow 2 x^{2} + 3 x - \frac{2}{x^{- 2}} = 3 x$ $Which is a polynomial .$
	Commented by A5T last updated on 05/Apr/24

	$I f w e w e r e t o c o n s i d e r i t i n t h e s t a t e b e f o r e$ $s i m p l i c a t i o n, t h e n f (0) w o u l d n o t e x i s t .$ $\frac{2}{x^{- 2}} = 2 x^{2} i f x \neq 0$
	Commented by Frix last updated on 05/Apr/24

	${You}^{'} re right .$
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