分解因式 x3+x2+x-3 x3-6x2+11x-6 x4+x3-7x2-x+6
问题描述：
分解因式 x3+x2+x-3 x3-6x2+11x-6 x4+x3-7x2-x+6
答
题目看不懂 太乱了。。
答
x3+x2+x-3＝（x-1)(x2+2x+3)
x3-6x2+11x-6=(x-1)(x-2)(x-3)
x4+x3-7x2-x+6=(x+1)(x-1)(x-2)(x+3)
答
(1)x3+x2+x-3=x^3-x+x^2+2x-3 = x(x-1)(x+1)+(x-1)(x+3)= (x-1)(x^2+2x+3)(2)x3-6x2+11x-6 = x^3-x^2 -(5x^2-11x+6) = x^2(x-1)-(5x-6)(x-1)= (x-1)(x^2-5x+6)=(x-1)(x-2)(x-3)(3)x4+x3-7x2-x+6 = x^3(x+1) - (7x-6)...