Question

$p+1$ is a factor of $p^{11}-1$.

• A. True
• B. False

Answer 1

The correct option is B

False

Consider $g\left(p\right)$ = $p^{11}-1$.

$p+1$ is a factor of $g\left(p\right)$ if $g(-1)=0$

$g(-1)=-1^{11}-1=-1-1=-2\ne 0$

Therefore, $p+1$ is not a factor of $p^{11}-1$.