Question

phan tich thanh nhan tu:

\(x^4+2019x^2+2018x+2019\)

Answer 1

\(x^4+2019x^2+2018x+2019\)

\(=x^4+x^2+1+\left(2018x^2+2018x+2018\right)\)

\(=x^4+x^2+1+2018\left(x^2+x+1\right)\)

\(=\left(x^2+x+1\right)\left(x^2-x+1\right)+2018\left(x^2+x+1\right)\)

\(=\left(x^2+x+1\right)\left(x^2-x+2019\right)\)