Question

is x2/2-2/x2 a polynomial

Answer 1

Step-by-step explanation:

Given:

$\frac{ {x}^{2} }{2} - \frac{2}{ {x}^{2} }$

To find:Is this a polynomial?

Solution: To find given expression is polynomial or not,check the power of x.

If powers of x are positive integers then the expression is polynomial otherwise not.

$\frac{ {x}^{2} }{2} - 2 {x}^{ - 2}$

in second term power of x is negative,so

it is not a polynomial.

Hope it helps you.

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Answer 2

Answer:

No, It is not a polynomial because it can be also written as x/2 - 2x^-2 in this it has negative power so any algebraic expression with negative power is not a polynomial