Question

phân tích thành nhân tử

x^5+x+1

Answer 1

\(x^5+x+1=x^5+x^4-x^4+x^3-x^3+x^2-x^2+x+1=x^5+x^4+x^3-\left(x^4+x^3+x^2\right)+x^2+x+1=x^3\left(x^2+x+1\right)-x^2\left(x^2+x+1\right)+\left(x^2+x+1\right)=\left(x^3-x^2+1\right)\left(x^2+x+1\right)\)