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September 17, 2014

Homework Help: Math (algebra)

Posted by Mathslover Please help on Monday, May 6, 2013 at 12:05am.

Suppose a and b are positive integers satisfying 1≤a≤31, 1≤b≤31 such that the polynomial P(x)=x^3−ax^2+a^2b^3x+9a^2b^2 has roots r, s, and t.

Given that there exists a positive integer k such that (r+s)(s+t)(r+t)=k^2, compute the maximum possible value of ab.

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