factor out -2x^3+6x+4

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04-06-2018
Mathematics

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factor out -2x^3+6x+4

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caylus caylus · Answer 1 · 2018-06-04T06:25:18+02:00

caylus caylus

04-06-2018

Hi,
[tex]-2x^3+6x+4=-2(x^3-3x-2)\\ =-2(x^3+x^2-x^2-x-2x-2)\\ =-2(x^2(x+1)-x(x+1)-2(x+1))\\ =-2(x+1)(x^2-x-2)\\ =-2(x+1)(x^2+x-2x-2)\\ =-2(x+1)(x(x+1)-2(x+1))\\ =-2(x-2)(x-1)^2 \\ [/tex]

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