分解因式:x*x*x*x+2*x*x*x-9*x*x-2x+8

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分解因式:x*x*x*x+2*x*x*x-9*x*x-2x+8分解因式:x*x*x*x+2*x*x*x-9*x*x-2x+8分解因式:x*x*x*x+2*x*x*x-9*x*x-2x+8(x-1)(x

分解因式:x*x*x*x+2*x*x*x-9*x*x-2x+8
分解因式:x*x*x*x+2*x*x*x-9*x*x-2x+8

分解因式:x*x*x*x+2*x*x*x-9*x*x-2x+8
(x-1)(x*x*x+3*x*x-6*x-8)
=(x-1)(x-2)(x*x+5*x+4)
=(x-1)(x-2)(x+1)(x+4)

x*x*x*x+2*x*x*x-9*x*x-2x+8
=x^4+2x³-9x²-2x+8
=(x^4+2x³+x²)-10x²-2x+8
=x²(x²+2x+1)-2(5x²+x-4)
=x²(x+1)²-2(x+1)(5x-4)
=(x+1)(x³...

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x*x*x*x+2*x*x*x-9*x*x-2x+8
=x^4+2x³-9x²-2x+8
=(x^4+2x³+x²)-10x²-2x+8
=x²(x²+2x+1)-2(5x²+x-4)
=x²(x+1)²-2(x+1)(5x-4)
=(x+1)(x³+x²-10x+8)
=(x+1)[(x³+x²-2x)-(8x-8)]
=(x+1)[x(x²+x-2)-8(x-1)]
=(x+1)[x(x+2)(x-1)-8(x-1)]
=(x+1)(x-1)(x²+2x-8)
=(x+1)(x-1)(x+4)(x-2)

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