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3 tháng 2 2019

\(x^3-x^2-14x+24\)

\(=x^3-2x^2+x^2-2x-12x+24\)

\(=x^2\left(x-2\right)+x\left(x-2\right)-12\left(x-2\right)\)

\(=\left(x-2\right)\left(x^2+x-12\right)\)

\(=\left(x-2\right)\left(x^2+4x-3x-12\right)\)

\(=\left(x-2\right)\left[x\left(x+4\right)-3\left(x+4\right)\right]\)

\(=\left(x-2\right)\left(x+4\right)\left(x-3\right)\)

3 tháng 2 2019

Ta có:\(x^3-x^2-14x+24=\left(x^3-2x^2\right)+\left(x^2-2x\right)-\left(12x-24\right)\)

                                                    \(=x^2\left(x-2\right)+x\left(x-2\right)-12\left(x-2\right)\)

                                                    \(=\left(x-2\right)\left(x^2+x-12\right)\)

                                                    \(=\left(x-2\right)\left(x^2-3x+4x-12\right)\)

                                                    \(=\left(x-2\right)\left[x\left(x-3\right)+4\left(x-3\right)\right]\)

                                                    \(=\left(x-2\right)\left(x+4\right)\left(x-3\right)\)

25 tháng 7 2015

 x4+2.x3-13.x2-14x+24

=x3.(x+2)-13x2+12x-26x+24

=x3.(x+2)-x.(13x-12)-2.(13x-12)

=x3.(x+2)-(13x-12)(x+2)

=(x+2)(x3-13x+12)

=(x+2)(x3-x-12x+12)

=(x+2)[x.(x2-1)-12.(x-1)]

=(x+2)[x.(x-1)(x+1)-12.(x-1)]

=(x+2)(x-1)[x.(x+1)-12]

=(x+2)(x-1)(x2+x-12)

=(x+2)(x-1)(x2-3x+4x-12)

=(x+2)(x-1)[x.(x-3)+4.(x-3)]

=(x+2)(x-1)(x-3)(x+4)

17 tháng 10 2021

\(b,=x^4-2x^3-x^3+2x^2+3x^2-6x-3x+6\\ =\left(x-2\right)\left(x^3-x^2+3x-3\right)\\ =\left(x-2\right)\left(x-1\right)\left(x^2+3\right)\\ c,=x^4-2x^3+4x^3-8x^2+4x^2-8x+3x-6\\ =\left(x-2\right)\left(x^3+4x^2+4x+3\right)\\ =\left(x-2\right)\left(x^3+3x^2+x^2+3x+x+3\right)\\ =\left(x-2\right)\left(x+3\right)\left(x^2+x+1\right)\)

14 tháng 8 2018

       \(x^3-9x^2+14x\)

\(x^3-7x^2-2x^2+14x\)

\(x^2.\left(x-7\right)-2x.\left(x-7\right)\)

\(\left(x-7\right).\left(x^2-2x\right)\)

\(\left(x-7\right).\left(x-2\right).x\)

14 tháng 8 2018

\(x^3-9x^2+14x\)

\(=x\left(x^2-9x+14\right)\)

\(=x\left(x^2-7x-2x+14\right)\)

\(=x\left[x\left(x-7\right)-2\left(x-7\right)\right]\)

\(=x\left(x-2\right)\left(x-7\right)\)

30 tháng 7 2017

\(x^3-x^2-14x+24\)

\(=x^3+4x^2-5x^2-20x+6x+24\)

\(=\left(x^3+4x^2\right)-\left(5x^2+20x\right)+\left(6x+24\right)\)

\(=x^2\left(x+4\right)-5x\left(x+4\right)+6\left(x+4\right)\)

\(=\left(x^2-5x+6\right)\left(x+4\right)\)

\(=\left(x^2-2x-3x+6\right)\left(x+4\right)\)

\(=\left[x\left(x-2\right)-3\left(x-2\right)\right]\left(x+4\right)\)

\(=\left(x-2\right)\left(x-3\right)\left(x+4\right)\)

8 tháng 2 2019

\(x^4-14x^3+71x^2-154x+120\)

\(=x^4-2x^3-12x^3+24x^2+47x^2-94x-60x+120\)

\(=x^3\left(x-2\right)-12x^2\left(x-2\right)+47x\left(x-2\right)-60\left(x-2\right)\)

\(=\left(x-2\right)\left(x^3-12x^2+47x-60\right)\)

\(=\left(x-2\right)\left(x^3-3x^2-9x^2+27x+20x-60\right)\)

\(=\left(x-2\right)\left[x^2\left(x-3\right)-9x\left(x-3\right)+20\left(x-3\right)\right]\)

\(=\left(x-2\right)\left(x-3\right)\left(x^2-9x+20\right)\)

\(=\left(x-2\right)\left(x-3\right)\left(x^2-4x-5x+20\right)\)

\(=\left(x-2\right)\left(x-3\right)\left[x\left(x-4\right)-5\left(x-4\right)\right]\)

\(=\left(x-2\right)\left(x-3\right)\left(x-4\right)\left(x-5\right)\)

2 tháng 7 2017

=x3(x+2)-13x2+12x-26x+24

=x3(x+2)-x(13x-12)-2(13x-12)

=x3(x+2)-(13x-12)(x+2)

=(x+2)(x3-x-12x+12)

(x+2)[(x2-1)-12(x-1)]

=(x+2)[x(x-1)(x+1)-12(x-1)]

=(x+2)(x-1)[x(x+1)-12]

=(x+2)(x-1)(x2+x-12)

=(x+2)(x-1)(x2-3x+4x-12)

=(x+2)(x-1)[x(x-3)+4(x+3)]

=(x+2)(x-1)(x-3)(x+4)

2 tháng 7 2017

trong bài làm của mk có hàng k có dấu "=" chỗ đó có dâu"=" nha!