Question:
Which of the following is not a polynomial?
(a) $\sqrt{3} x^{2}-2 \sqrt{3} x+5$
(b) $9 x^{2}-4 x+\sqrt{2}$
(c) $\frac{3}{2} x^{3}+6 x^{2}-\frac{1}{\sqrt{2}} x-8$
(d) $x+\frac{3}{x}$
Solution:
(d) $x+\frac{3}{x}$ is not a polynomial.
It is because in the second term, the degree of x is −1 and an expression with a negative degree is not a polynomial.
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