APPLICATION In an atom, electrons spin rapidly around a nucleus. An electron can occupy only specific energy levels, and each energy level can hold only a certain number of electrons. This table gives the greatest number of electrons that can be in any one level.

Is it possible to find a polynomial function that expresses the relationship between the energy level and the maximum number of electrons? If so, find the function. If not, explain why not.

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Energy level Maximum number 2 818 32 50 72 98 of electrons