Question

for which n€N is polynomial f(x)=x^2n+x^n+1 divisible by g(x)=x^2+x+1​

Answer 1

Answer:

f(x)=x^2n+x^n+1

on putting , n=1

we get ,

f(x) = x^2×1 +x^1 +1

f(x) = x^2+x+1

Therefore, for n=1 , f(x) is divisible by g(x) ...