Question

Is $x^4-x^3+x^2-\frac{x}{2}$ a polynomial or not?

Answer 1

The given expression is $x^4-x^3+x^2-\frac{x}{2}$.

We know that the polynomial an expression in which each term has non negative exponent is called a polynomial.

In the given expression all the terms are positive exponents only.

Hence, $x^4-x^3+x^2-\frac{x}{2}$is a polynomial.