Question

Phân tích thành nhân tử:

\(x^5 +x^4 +1\)

Answer 1

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

Answer 2

\(x^5+x^4+1\)

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

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