x^4+x^2+1=(x^4+2x^2+1)- x^2=(x^2+1)^2-x^2=(x^2+x+1)(x^2-x+1)x^3-6x^2+11x+6=x^3-6x^2+9x+2x+6=x(x^2-6x+9)+2(x+3)=x(x-3)^2+2(x+3)=(x+3)(x^2+3x+2)=(x+3)(x+2)(x+1)a^2+2b^2+3c^2+4ac+5bc+3ab=(a^2+3ab+2b^2)+4...