因式分解:x^3+9x^2+26x+24=

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因式分解:x^3+9x^2+26x+24=

因式分解:x^3+9x^2+26x+24=
因式分解:x^3+9x^2+26x+24=

因式分解:x^3+9x^2+26x+24=
x^3+9x^2+26x+24
=x^3+8x^2+15x+x^2+11x+24
=x(x+3)(x+5)+(x+3)(x+8)
=(x+3)(x^2+6x+8)
=(x+3)(x+2)(x+4)

=X^3+4X^2+5X^2+26X+24
=X^2(X+4)+(5X+6)(X+4)
=(X+4)(X^2+5X+6)
=(x+4)(x+1)(x+6)

x^3+9x^2+26x+24
=x^3+8x^2+16x+x^2+10x+25-1
=x(x+4)^2+(x+5)^2-1
=x(x+4)^2+(x+4)(x+6)
=(x+4)(x^2+4x+x+6)
=(x+4)(x+2)(x+3)

=x3+8x2+16x+x2+10x+24
=x(x+4)2+(x+6)(x+4)
=(x+4)[x(x+4)+(x+6)]