Question

Phân tích đa thức thành nhân tử: \(x^4+2013x^2+2012x+2013\)

Answer 1

x^4+2013x^2+2012x+2013

=(x^4-x)+(2013x^2+2013x+2013)

=x(x^3-1)+2013(x^2+x+1)

=x(x-1)(x^2+x+1)+2013(x^2+x+1)

=(x^2+x+1)(x^2-x+2013)

chúc bạn học tốt ^ ^

Answer 2

\(x^4+2013x^2+2012x+2013\)

=\(x^4+2013x^2+2013x-x+2013\)

=\(\left(x^4-x\right)+\left(2013x^2+2013x+2013\right)\)

=\(x\left(x^3-1\right)+2013\left(x^2+x+1\right)\)

=\(x\left(x-1\right)\left(x^2+x+1\right)+2013\left(x^2+x+1\right)\)

=\(\left(x^2+x+1\right)\left(x^2-x+2013\right)\)