来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/31 14:14:14
x^4-4x^3-3x^2+14x+12分解因式
x^4-4x^3-3x^2+14x+12
=x^4-4x³+3x²-6x²+14x+12
=x²(x²-4x+3)-2(3x²-7x-6)
=x²(x-1)(x-3)-2(3x+2)(x-3)
=(x-3)(x³-x²-6x-4)
=(x-3)(x³-x²-2x-4x-4)
=(x-3)[x(x+1)(x-2)-4(x+1)]
=(x-3)(x+1)(x²-2x-4)