x^4-4x^3-3x^2+14x+12分解因式
问题描述:
x^4-4x^3-3x^2+14x+12分解因式
答
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)...