polinomios factorizar

Factoriza los siguientes polinomios:

– a) $x^3 - 6x^2 + 11x - 6$
– b) $x^3 - 3x^2 - 9x - 5$

SOLUCIÓN

– a) $x^3 - 6x^2 + 11x - 6$

$\polyhornerscheme[x=1, resultstyle=\color{blue},resultbottomrule,resultleftrule,resultrightrule]{x^3 - 6x^2 + 11x - 6}$

$\polyhornerscheme[x=2, resultstyle=\color{blue},resultbottomrule,resultleftrule,resultrightrule]{x^2 - 5x +6}$

$\polyhornerscheme[x=3, resultstyle=\color{blue},resultbottomrule,resultleftrule,resultrightrule]{x - 3}$

$x^3 - 6x^2 + 11x - 6= \polyfactorize{x^3 - 6x^2 + 11x - 6}$

– b) $x^3 - 3x^2 - 9x - 5$

$\polyhornerscheme[x=-1, resultstyle=\color{blue},resultbottomrule,resultleftrule,resultrightrule]{x^3 - 3x^2 - 9x - 5}$

$\polyhornerscheme[x=-1, resultstyle=\color{blue},resultbottomrule,resultleftrule,resultrightrule]{x^2 - 4x - 5}$

$\polyhornerscheme[x=5, resultstyle=\color{blue},resultbottomrule,resultleftrule,resultrightrule]{x -5}$

$x^3 - 3x^2 - 9x - 5= \polyfactorize{x^3 - 3x^2 - 9x - 5}$

15 de junio de 2006, 11:46, por dani

– a) $x^3 - 6x^2 + 11x - 6 = (x-1) \cdot (x-2) \cdot (x-3)$
– a) $x^3 - 3x^2 - 9x - 5 = (x+1)^2 \cdot (x-5)$