polinomios factorizar

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Factoriza los siguientes polinomios:

– a)
– b)

SOLUCIÓN

– a)

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

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

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

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

– b)

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

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

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

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