\(x^4+2007x^2+2006x+2007\\ =x^4+x^3-x^3+x^2-x^2-x+2007x^2+2007x+2007\\ =\left(x^4+x^3+x^2\right)-\left(x^3+x^2+x\right)+\left(2007x^2+2007x+2007\right)\\ =x^2\left(x^2+x+1\right)-x\left(x^2+x+1\right)+2007\left(x^2+x+1\right)\\ =\left(x^2+x+1\right)\left(x^2-x+2007\right)\)
