tizifernandez10suizo tizifernandez10suizo

02-06-2022
Mathematics

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Factorize -3x^3 + 12x^2 - 15x + 6

With the steps please

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loneguy loneguy

02-06-2022

[tex]-3x^3 +12x^2 -15x +6\\\\=-3(x^3 -4x^2 +5x-2)\\\\=-3(x^3 -2x^2-2x^2 +4x+x-2)\\\\=-3\textbf{[} x^2(x-2) -2x(x-2)+ (x-2)\textbf{]}\\\\=-3(x-2)(x^2 -2x +1)\\\\=-3(x-2)(x-1)^2[/tex]

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