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ThaBadDawg · Answer 1 · 2023-05-25T22:14:23+0000

Check below, please.

1) By definition, a Polynomial is defined as an algebraic expression that follows this Pattern:

$P(x)=a_nx^n+a_(n-1)x^(n-1)+.\ldots a_2x^2+\cdots a_0$

In which, n ∈ N (Natural set) and x ∈ C (Complex Set)

2) Based on that, we can discern the following expressions and classify them this way:

$\begin{gathered} (x^2)/(7)+1\: \: \: \: This\: is\: a\: Polynomial \\ -2x^3+2x+4\quad \: \: \: This\: is\: a\: Polynomial \\ x^(-3)+4x\: \: \: This\: is\: NOT\: a\: Polynomial \\ 6x-x^3+4x\: \quad \: \: \: This\: is\: a\: Polynomial \end{gathered}$

Note that the exponents must be natural numbers

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