Question

Identify the algebraic expression is polynomial . If so, write their degree .

$2x-\frac{3}{x}$

Answer 1

We have $2x-\frac{3}{x}$

An algebraic expression containing only one variable is called a polynomial in that variable if the powers of the variable in each term are non- negative integral powers .

Thus, an algebraic expression of the form $a+bx+c{x}^2+d{x}^3+...,$ where $a,b,c,d...$are constants and $x$is a variable, is called a polynomial in the variable $x$.

No term in a polynomial can be of the form $\frac{1}{x},\frac{1}{x^2},\frac{x}{y}\mathrm{etc}.$

Therefore, $2x-\frac{3}{x}$ is not a polynomial, because it having the form of $\frac{3}{x}=3\times \frac{1}{x}$.