分解因式x3-4x2-11x-6

题目

分解因式x3-4x2-11x-6
写下解决方法,

答案

x³-4x²-11x-6
=x³+x²-5x²-5x-6x-6
=x²(x+1)-5x(x+1)-6(x+1)
=(x+1)(x²-5x-6)
=(x+1)(x-6)(x+1)
=(x+1)²(x-6)