因式分解x^3+6x^2+11x+6

2024-11-22 16:59:55
推荐回答(2个)
回答1:

(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)

回答2:

x^3+6x^2+11x+6
=(x+2)(x^2+4x+3)
=(x+2)(x+1)(x+3)