P(x) is divisible by x-a if P(a)=0. Factor theorem. So, x2+x+1 has two roots -1/2+isqrt(3)/2 and -1/2-isqrt(3)/2
If P(x) is your above polynomial. P(-1/2+isqrt(3)/2)=0 and P(-1/2-isqrt(3)/2)=0. So your polynomial x^3m+x^3k+1+x^3n+2 is divisible by x^2+x+1.
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Balaji Dodda
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3 years, 8 months ago

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TopNewestP(x) is divisible by x-a if P(a)=0. Factor theorem. So, x2+x+1 has two roots -1/2+i

sqrt(3)/2 and -1/2-isqrt(3)/2 If P(x) is your above polynomial. P(-1/2+isqrt(3)/2)=0 and P(-1/2-isqrt(3)/2)=0. So your polynomial x^3m+x^3k+1+x^3n+2 is divisible by x^2+x+1. – Balaji Dodda · 3 years, 8 months agoLog in to reply