因式分解:x4-6x²-7x-6因式分解:x四次方-6x²-7x-6_数学解答

因式分解:x4-6x²-7x-6
因式分解:x四次方-6x²-7x-6

人气：339 ℃　时间：2020-03-24 20:54:56

解答

x^4-6x²-7x-6=x²(x²-4)-2x²-7x-6 =x²(x+2)(x-2)-(2x+3)(x+2) =(x+2)[x²(x-2)-(2x+3)] =(x+2)(x³-2x²-2x-3) =(x+2)[x²(x-3)+x²-2x-3] =(x+2)[x²(x-3)+(x+1)(...