因式分解:x4-6x²-7x-6因式分解:x四次方-6x²-7x-6

因式分解:x4-6x²-7x-6因式分解:x四次方-6x²-7x-6
因式分解:x4-6x²-7x-6
因式分解:x四次方-6x²-7x-6

因式分解:x4-6x²-7x-6因式分解:x四次方-6x²-7x-6
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)(x-3)]
=(x+2)(x-3)(x²+x+1)
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