Question 1033430
.
Write a polynomial that represents the sum of the square of the next even integer 
after the integer x and the square of the integer right before the integer x.
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To the next generations of visitors who will read this post.



The formulation of the problem in the post is mathematically incorrect (illiterate).


So, do not try to catch an exact/precise meaning in it - you better simply ignore it.



Nonsense should be called by its proper name and consigned to the trash,
rather than trying to interpret it and/or give it some kind of meaning.