已知X3+2X2-5x-6=(x+a)(x+b)(x+c),求abc的值

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已知X3+2X2-5x-6=(x+a)(x+b)(x+c),求abc的值

已知X3+2X2-5x-6=(x+a)(x+b)(x+c),求abc的值
已知X3+2X2-5x-6=(x+a)(x+b)(x+c),求abc的值

已知X3+2X2-5x-6=(x+a)(x+b)(x+c),求abc的值
x^3+2x^2-5x-6
=(x^3+x^2)+(x^2-5x-6)
=x^2(x+1)+(x-6)(x+1)
=(x+1)(x^2+x-6)
=(x+1)(x-2)(x+3)
所以:a=1 b=-2 c=3