因式分解X^3+5x^2+7x+3

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因式分解X^3+5x^2+7x+3因式分解X^3+5x^2+7x+3因式分解X^3+5x^2+7x+3X^3+5x^2+7x+3=X^3+5x^2+6x+x+3=x(x^2+5x+6)+(x+3)=x

因式分解X^3+5x^2+7x+3
因式分解X^3+5x^2+7x+3

因式分解X^3+5x^2+7x+3
X^3+5x^2+7x+3
=X^3+5x^2+6x+x+3
=x(x^2+5x+6)+(x+3)
=x(x+2)(x+3)+(x+3)
=(x^2+2x+1)(x+3)
=(x+3)(x+1)^2

X^3+5x^2+7x+3
=X^3+x^2+4x^2+7x+3
=x^2(x+1)+(4x+3)(x+1)
=(x+1)(x^2+4x+3)
=(x+1)(x+1)(x+3)