[tex]( {x}^{3} - 8 {x}^{2} + 19x - 9) \div (x - 4) [/tex]

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02-09-2018
Mathematics

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[tex]( {x}^{3} - 8 {x}^{2} + 19x - 9) \div (x - 4) [/tex]

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gmany gmany · Answer 1 · 2018-09-02T22:31:58+02:00

gmany gmany

02-09-2018

[tex] (x^3-8x^2+19x-9)\div(x-4)=x^2-4x+3\\\underline{-x^3+4x^2}\\=-4x^2+19x\\\underline{\ \ \ \ \ 4x^2-16x}\\.\ \ \ =3x-9\\\underline{\ \ \ \ \ -3x+12}\\.\ \ \ \ \ =\ 3 [/tex]

[tex]x^3-8x^2+19x-9=(x^2-4x+3)(x-4)+3[/tex]

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