Question

розкласти на множники: х^7+х^6+х^5+х^4+х^3+х^2+х+1

Answer 1

х^7+х^6+х^5+х^4+х^3+х^2+х+1 =x^5(x^2+1)+x^4(x^2+1)+x(x^2+1)+(x^2+1)=(x^2+1)(x^5+x^4+x+1)=(x^2+1)(x^4(x+1)+(x+1))=(x^2+1)(x+1)(x^4+1)