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x^8+x^4+1=(x^8+2x^4+1)-x^4=(x^4+1)^2-(x^2)^2=(x^4+x^2+1)(x^4-x^2+1)=[(x^4+2x^2+1)-x^2](x^4-x^2+1)=[(x^2+1)-x^2](x^4-x^2+1)=(x^+x+1)(x^2-x+1)(x^4-x^2+1)