Question

phân tích thành nhân tử : x⁴+2015x²+2014x+2015

Answer 1

 

 x⁴+2015x²+2014x+2015

=x⁴-x+2015x²+2015x+2015

=x.(x³-1)+2015.(x²+x+1)

=x.(x-1)(x²+x+1)+2015.(x²+x+1)

=(x²+x+1)(x²-x+2015)

Answer 2

\(x^4+2015x^2+2014x+2015=\left(x^4+x^3+x^2\right)-\left(x^3+x^2+x\right)+\left(2015x^2+2015x+2015\right)\)

\(=x^2\left(x^2+x+1\right)-x\left(x^2+x+1\right)+2015\left(x^2+x+1\right)=\left(x^2+x+1\right)\left(x^2-x+2015\right)\)