Question

Phân tích đa thức thành nhân tử:

\(x^4+x^3+2x^2+x+1\)

Answer 1

\(x^4+x+2x^2+x+1\)

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

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

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

Answer 2

\(x^4+x^3+2x^2+x+1\)

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

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