Question

Which of the following algebraic expressions are polynomials?

$\frac{x^2-3x+1}{x}$

Answer 1

Check the algebraic expression is polynomial or not.

Given, $\frac{x^2-3x+1}{x}$

An algebraic expression can be called a polynomial if the power of terms of the expression are a whole numbers. It should be not a radical power or a negative power.

Here, $\frac{x^2-3x+1}{x}$ is not a polynomial because there is $x$ in the denominator whose power will lead to a negative integer.

Hence, $\frac{x^2-3x+1}{x}$ is not a polynomial.