因式分解x^3-5x^2-2x+24_数学解答

因式分解x^3-5x^2-2x+24

人气：443 ℃　时间：2020-02-03 09:18:07

解答

x³-5x²-2x+24
=x³-4x²-x²-2x+24
=(x³-4x²)-(x²+2x-24)
=x²(x-4)-(x-4)(x+6)
=(x-4)(x²-x-6)
=(x-4)(x+2)(x-3)