x^3+2x^2-5x-6=?

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x^3+2x^2-5x-6=?

x^3+2x^2-5x-6
=(x^3+x^2)+(x^2-5x-6)
=x^2(x+1)+(x-6)(x+1)
=(x^2+x-6)(x+1)
=(x+3)(x-2)(x+1)

x^3+2x^2-5x-6=(x+1)(x+3)(x-2)

x^3+2x^2-5x-6
=(x^3-8)+(2x^2-5x+2)
=(x-2)(x^2+2x+4)+(x-2)(2x-1)
=(x-2)(x^2+2x+4+2x-1)
=(x-2)(x^2+4x+3)
=(x-2)(x+1)(x+3)

x^3+2x^2-5x-6
=x^3+x^2+x^2-5x-6
=x^2(x+1)+(x+1)(x-6)
=(x^2+x-6)(x+1)
=(x+3)(x-2)(x+1)