Question

Direction: Identify if the given expression is a polynomial or nonpolynomial if it is a polynomial determine its degree, leading coefficients, and constant term.

Answer 1

All the exponents in the alegebraic expresion must be non negative integers , if the expression has to be a polynomial. Also, if an algebraic expression has a radical, then also it is not a polynomial. The given expression contains a term with radical

`\begin{gathered} \sqrt[]{x} \\ \sqrt[]{x}\text{ can be written as } \\ x^{(1)/(2)}^{} \end{gathered}`

Hence, the exponent is not an integer.

Hence, it is a non-polynomial.