Question

多项式x^6-2x^4+6x^3+x^2-6x+9可分解成几个因式的积的形式,这几个因式为多少?

Answer 1

原式=x^6-2x^3(x-3)+(x^2-6x+9)

=x^6-2x^3(x-3)+(x-3)^2

=(x^3-(x-3))^2

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

=(x^3-x+3)(x^3-x+3)