proof of rational root theorem
Let . Let be a positive integer with . Let such that .
Let with and such that is a root of . Then
Multiplying through by and rearranging yields:
Thus, and, by hypothesis, . This implies that .
Therefore, and .
|Title||proof of rational root theorem|
|Date of creation||2013-03-22 13:03:53|
|Last modified on||2013-03-22 13:03:53|
|Last modified by||Wkbj79 (1863)|