Question

Which of the following is not a polynomial?

(a) $\sqrt{3}{x}^2-2\sqrt{3}x+5$
(b) $9x^2-4x+\sqrt{2}$
(c) $\frac{3}{2}{x}^3+6x^2-\frac{1}{\sqrt{2}}x-8$
(d) $x+\frac{3}{x}$

Answer 1

$\begin{array}{l}\left(\text{d}\right)x+\frac{3}{x}\text{is not a polynomial}\text{.}\\ \end{array}$
It is because in the second term, the degree of x is −1 and an expression with a negative degree is not a polynomial.