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Question

If 2 divides x2+6x+9 then x + 3 would be a/an_____for any value of x, provided x2+6x+9 is a positive integer.

A
None of the above
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B
Odd Number
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C
Even Number
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D
Prime Number
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Solution

The correct option is C Even Number
2 divides x2+6x+9=(x+3)2
2 divides x+3 ( For any prime number p and a positive integer b, if p divides b2, then p divides b )
x+3 is even ( Numbers divisible by 2 are even)

So, option a is correct.

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