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Question
(x+1) is a factor of xn + 1 only if
Options
n is an odd integer
n is an even integer
n is a negative integer
n is a positive integer
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Solution
The linear polynomial (x - 1)is a factor of `x^n + 1,`only if `f(-1) = (-1)^n + 1 = 0`
If n is odd integer, then `f(-1) = -1 + 1 = 0`
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