将下列各式因式分解 x^3-3x+2  x^3-19x+30 x^3+6x^2+11x+6

问题描述:

将下列各式因式分解 x^3-3x+2  x^3-19x+30 x^3+6x^2+11x+6

“数学之美”团员448755083为你解答!x^3-3x+2=(x-2)(x-1)x^3-19x+30=(x^3-8)-19(x-2)=(x-2)(x^2+2x-15)x^3+6x^2+11x+6=(x^3-x)+6(x^2+2x+1)=x(x+1)(x-1)+6(x+1)^2=(x+1)(x^2-x+6x+6)=(x+1)(x^2+5x+6)=(x+1)(x+2)(x+3...