http://www.educajob.com/xmoned/temarios_elaborados/matematicas/tema14.pdf
http://books.google.es/books?id=7YIofxGKkWIC&pg=PA330&lpg=PA330&dq=cota+superior+raices+positivas&source=web&ots=9y-cOgwiQd&sig=1vlzzEnAHxGYxpqVG28qOQr_NIM&hl=es#PPA332,M1
http://books.google.es/books?id=tfBhhHF1FXkC&pg=PA245&lpg=PA245&dq=cota+superior+raices+negativas&source=web&ots=WpRAyEUl2L&sig=gH6TmeOabjcImZFZOwOT9gffcuo&hl=es#PPA247,M1
http://books.google.es/books?id=psh0TZNE16QC&pg=PA241&lpg=PA241&dq=cota+inferior+raices+negativas&source=web&ots=xv0tAiEcwp&sig=KgDE__At9A9URlVk35UfFXZXyJc&hl=es
Calculo del limite inferior de las raices positivas:
Si f(x)=x^3-2x^2+17x-5=0 hacemos f(1/x)=5x^3-17x^2+2x-1=0 que aplicandole Laguerre nos da el valor que hace todos los coeficientes positivos o nulos L=4 por lo que el limite inferior de las raices positivas es 1/4.
Limite superior raices negativas:
f(x)=x^7+3x^6-5x^4-6x^3+8x^2-12x-20 hacemos f(-x) y de ahí sacamos por Laguerre L=3 por lo que L'=-3 es al limite inferior de las raices negativas.
Si hacemos f(-1/x) y le aplicamos Laguerre obtenemos l=1/2 por lo que l'=-1/2 será el limite superior de las raices negativas.
Generalmente el superior de las negativas y el inferior de las positivas no se emplean por lo que son mas efectivos los metodos que calculan el intervalo entre la mayor y la menor.El polinomio 2x^4+4x^3-59x^2-61x+30=0 puede practicarse con el y se obtienen los valores -7,-1,1/3,6 es decir todas todas las raices estan entre -7 y 6.
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