x³-12x²+21x+54怎么因式分解?

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x³-12x²+21x+54怎么因式分解?
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x³-12x²+21x+54怎么因式分解?
x³-12x²+21x+54怎么因式分解?

x³-12x²+21x+54怎么因式分解?
x^3-12*x^2+21*x+54
=x^3-9x^2-3x^2+27x-6x+54
=x^2(x-9)-3x(x-9)-6(x-9)
=(x-9)(x^2-3x-6)