Question

Descompuneti in factori X la 8+ x la 4+1

Answer 1

[tex]x^8+x^4+1=x^8+2x^4+1-x^4=(x^4+1)^2-(x^2)^2=\\ =(x^4+1-x^2)(x^4+x^2+1)=(x^4-x^2+1)(x^2-x+1)(x^2+x+1)\\ Dar:x^4+x^2+1=x^4+2x^2+1-x^2=(x^2+1)-x^2=\\ =(x^2-x+1)(x^2+x+1)[/tex]