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问题: 因式分解

x^3+6x^2+11x+6

解答:

(x^3+6x^2+11x+6)

=(x^3+3x^2)+(3x^2+11x+6)
=x^2(x+3)+(x+3)(3x+2)
=(x+3)(x^2+3x+2)
=(x+3)(x+2)(x+1)