Question

Is 4 x^ 5/2 + 3x^ 2 + 4x - 5 x^ 5/2 + x^ 5/2 + 1, a polynomial or not?

Answer 1

Answer:

There is only one condition for an algebraic expression to be a polynomial, which is the index of the variable in the polynomial should always be a whole number.

Step-by-step explanation:

In this expression, 4x^5/2 + 3x^2 + 4x - 5x^5/2 + x^5/2 + 1, we can clearly see that in some of the terms, the exponent or the index of the variable isn't a whole number, instead, it is a fraction. So this algebraic expression does not qualify as a polynomial.

Hope this helps you.