If X^2m+x^m+1 is divisible by x^2+x+1 then, (A) m is an odd integer (B)m is divisible by 3 (C)m is - Maths - Complex Numbers

Question

If X^2m+x^m+1 is divisible by x^2+x+1 then, (A) m is an odd integer
(B)m is divisible by 3 (C)m is not divisible by 3 (D)none of these

Manosh T M · Accepted Answer

Dear student

Given that x2m+xm+1 is divisible by x2+x+1x2m+xm+1 can be written as x2m+xm+1=(x2)m+(x)m+1mHere when m=1Clearly x2m+xm+1 becomes x2+x+1
 Then it is divisible by x2+x+1so m can be 1So in general m cannot be divided by 3So here in this multiple choice question the answer is  m is an odd integer and in general cannot be divided by 3

Regards

If X^2m+x^m+1 is divisible by x^2+x+1 then, (A) m is an odd integer (B)m is divisible by 3 (C)m is not divisible by 3 (D)none of these