因式分解 x³-9x²+26x-24?
问题描述:
因式分解 x³-9x²+26x-24?
答
x³-9x²+26x-24=(x-4)(x-3)(x-2)过程?x³-9x²+26x-24
=x³-8x²+16x-x²+10x-24
=x(x-4)²-(x²-10x+24)
=x(x-4)²-(x-4)(x-6)
=(x-4)[x(x-4)-x+6]
=(x-4)(x²-5x+6)
=(x-4)(x-3)(x-2)