因式分解:x的3次方+2X的平方-5X-6怎么做

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因式分解:x的3次方+2X的平方-5X-6怎么做

因式分解:x的3次方+2X的平方-5X-6怎么做
因式分解:x的3次方+2X的平方-5X-6怎么做

因式分解:x的3次方+2X的平方-5X-6怎么做
x^3+2x^2-5x-6
=x^3+(x^2+x^2)-5x-6
=(x^3+x^2)+(x^2-5x-6)
=x^2(x+1)+(x+1)(x-6)
=(x+1)(x^2+x-6)
=(x+1)(x-2)(x+3)

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

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