Question

why is x²/2 is a polynomial but 2/ x² not​

Answer 1

Answer:

Answer:-

x^2/2 is a Polynomial. But 2/x^2 is not a Polynomial

We know that

An algebraic expression in which the variables involved have only non negative integral powers is called a Polynomial .

That means ,

• The variable of the given expression is not in the denominator .

• The variable is not under root.

• The variable has not a negative power .

• The variable has not a fractional power.

So, In x^2/2 is a polynomial since , x has positive power 2 .

In the expression 2/x^2 , The variable x is in the denominator ,so it has a negative power.

So it is not a polynomial .