Question

if X + 1 is a factor of x to the power n + 1 then n is necessarily

Answer 1

Hey


x + 1 is the factor of xⁿ + 1 , then

n is necessarily an odd number .


Let's take an example :-


a³ + b³ is any number , then it's factor will be ,


( a + b ) ( a² + b² + ab )


But when there will be

a² + b² , then it will not be in factor ,

like as ( a² + b² ) = ( a + b ) ² - 2ab


here in this case , it is not in form of factor .


So, only in case of odd , there will be factor



thanks :)