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What is the largest positive integer such that (n^2+7n+12)/(n^2ānā12) is also positive integer?
What is the largest positive integer such that (n2+7n+12)/(n2−n−12) is also positive integer?
- 6
- 8
- 16
- 12
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n2+7n+12 can be rewritten as (n2 - n - 12) + (8n + 24)
Therefore equation will be 1 + (8n + 24)/(n2−n−12)
1 + (8n + 24)/(n2−n−12) = 1 + 8(n + 3)/(n - 4)(n + 3)
n cannot be -3
8/(n - 4)has to be an integer
And this value has to be equal to 1, for n to be high
So,8/(n - 4)= 1
8 = n - 4
n = 12
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