x^4-14x^3+59x^2-94x+48
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x^4-14x^3+59x^2-94x+48
越快越好,
越快越好,
![x^4-14x^3+59x^2-94x+48](/uploads/image/z/19575661-13-1.jpg?t=x%5E4-14x%5E3%2B59x%5E2-94x%2B48)
=x^4-x³-13x³+13x²+46x²-46x-48x+48
=x³(x-1)-13x²(x-1)+46x(x-1)-48(x-1)
=(x-1)(x³-13x²+46x-48)
=(x-1)【x³-2x²-11x²+22x+24x-48】
=(x-1)【x²(x-2)-11x(x-2)+24(x-2)】
=(x-1)(x-2)(x²-11x+24)
=(x-1)(x-2)(x-3)(x-8)
=x³(x-1)-13x²(x-1)+46x(x-1)-48(x-1)
=(x-1)(x³-13x²+46x-48)
=(x-1)【x³-2x²-11x²+22x+24x-48】
=(x-1)【x²(x-2)-11x(x-2)+24(x-2)】
=(x-1)(x-2)(x²-11x+24)
=(x-1)(x-2)(x-3)(x-8)
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