Question:
Which of the following is a polynomial?
(a) $x^{2}-5 x+4 \sqrt{x}+3$
(b) $x^{3 / 2}-x+x^{1 / 2}+1$
(c) $\sqrt{x}+\frac{1}{\sqrt{x}}$
(d) $\sqrt{2} x^{2}-3 \sqrt{3} x+\sqrt{6}$
Solution:
(d) is the correct option.
A polynomial in $x$ of degree $n$ is an expression of the form $p(x)=a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{n} x_{n}$, where $a_{n} \neq 0$.
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