Which of the following are polynomials?

$
\begin{array}{ll}
\square & ext { A. } \frac{2}{3} x^{2}+x+1 \
\square & ext { B. } \frac{2}{x^{3}}+x+\frac{1}{2} \
\square & ext { C. } x^{2}+2 x+\sqrt{2} \
\square & ext { D. } \frac{2}{x^{3}}+0 x+1 \
\square & ext { E. } x^{2}+x+\frac{1}{x^{2}+1}
\end{array}
$

Question

Which of the following are polynomials?

$
\begin{array}{ll}
\square & 	ext { A. } \frac{2}{3} x^{2}+x+1 \
\square & 	ext { B. } \frac{2}{x^{3}}+x+\frac{1}{2} \
\square & 	ext { C. } x^{2}+2 x+\sqrt{2} \
\square & 	ext { D. } \frac{2}{x^{3}}+0 x+1 \
\square & 	ext { E. } x^{2}+x+\frac{1}{x^{2}+1}
\end{array}
$

StudyXY · Accepted Answer

Let's solve this step by step by checking each expression against the definition of a polynomial. : Definition of a Polynomial : Analyze Option A: $\frac{2}{3}x^{2}+x+1$ : Analyze Option B: $\frac{2}{x^{3}}+x+\frac{1}{2}$ : Analyze Option C: $x^{2}+2x+\sqrt{2}$ : Analyze Option D: $\frac{2}{x^{3}}+0x+1$ : Analyze Option E: $x^{2}+x+\frac{1}{x^{2}+1}$ The polynomials are A and C.

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QuestionAnatomy and Physiology

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Step 1
Let's solve this step by step by checking each expression against the definition of a polynomial.

Step 2
: Definition of a Polynomial

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