Does 4 divide (n^2 + 2)?? 1. n is even 2. n is odd

Question

Does 4 divide (n^2 + 2)??

1. n is even
2. n is odd

Paul · Answer

D
1) put in any even number for n^2+ 2 and it will never be divisible by 2

SigEpUCI · Answer

Wow... I was careless on that one. EEK!

ywilfred · Answer

(n^2+2)/4 = (n^2+2)/(2*2). So if (n^2+2)is even, it can divided evenly
by 4.

1. If n is even, n^2+2 = even
2. If n is odd, n^2+2 = even

So (D) is the answer.

OlegC · Answer

if n is even (n^2 + 2) will never be divided by 4

n = 2k
(n^2 + 2) = (4k^2 + 2)

cbrf3 · Answer

Paul, OlegC are u saying that, for "n" being even or odd the expression is NOT divisible and hence the question can be answered by either statements???

Paul · Answer

yes. n, being even or odd, in the given equation, will never be divisible by 4. Only way it is divisible by 4 is if it is not an integer. ie root2, root6, root10 and so on

Does 4 divide (n^2 + 2)?? 1. n is even 2. n is odd

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