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## Problem 107: Roots of a Polynomial |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z |

Given the polynomial .

**a)**- Show, without using differential calculus, that all real roots of are within the interval . Divide therefor the equation by and analyse the cases and .
**b)**- Find the values of the function for . In which subintervals are the roots - and why?
**c)**- Find, by successive bisection of the starting intervals determined in
**b)**, the intervals of length that contain each exactly one root of .

(Authors: Apprich/Höfert)

**Solution:**

- Lösung (german)

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automatisch erstellt am 14. 10. 2004 |