Question

$p+1$ is a factor of $p^{10}-1$.

• A. True
• B. False

Answer 1

The correct option is A

True

Consider $g\left(p\right)$ = $p^{10}-1$.

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

$g(-1)=-1^{10}-1=1-1=0$

Therefore $p+1$ is a factor of $p^{10}-1$