SOLUTION: 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.

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.
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949)   (Show Source): You can put this solution on YOUR website!

(x+2)^2 +(x-1)^2
x^2+4x+4+x^2-2x+1
2x^2+2x+5
Answer by ikleyn(53616)   (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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.

Answer by josgarithmetic(39732)   (Show Source): You can put this solution on YOUR website!
---------------------------------------
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.
---------------------------------------

x, an EVEN integer
x+2, the even integer after x
x-1, the integer "right before" x

Transcribing the description:

Some algebra steps

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