MathDB
SMT 2007 Algebra #5

Source:

June 27, 2012
algebrapolynomialprobability

Problem Statement

The polynomial −400x5+2660x4−3602x3+1510x2+18x−90-400x^5+2660x^4-3602x^3+1510x^2+18x-90 has five rational roots. Suppose you guess a rational number which could possibly be a root (according to the rational root theorem). What is the probability that it actually is a root?
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