MCQ
$(x + 1)$ is a factor of $x^n +1 $ only if.
- A$N$ is a negative integer.
- ✓$N$ is an odd integer.
- C$N$ is an even integer.
- D$N $ is a positive integer.
✓
Answer
Correct option: B.
$N$ is an odd integer.
The linear polynomial $(x - 1)$ is a factor of $xn + 1,$ only if,
$f(-1) = (-1)^n+ 1 = 0$
If n is odd integer, then $f(-1) = -1 + 1 = 0$
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