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.

Algebra ->  Polynomials-and-rational-expressions -> 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.      Log On


   



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) About Me  (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(53617) About Me  (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(39734) About Me  (Show Source):
You can put this solution on YOUR website!
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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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x, an EVEN integer
x+2, the even integer after x
x-1, the integer "right before" x

Transcribing the description:
%28x%2B2%29%5E2%2B%28x-1%29%5E2

Some algebra steps
x%5E2%2B4x%2B4%2Bx%5E2-2x%2B1
highlight%282x%5E2%2B2x%2B5%29