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A polynomial p(x) is called self-centered if it has integer coefficients and
p(10) = 10. If p(x) is a self-centered polynomial, what is the maximum
number of distinct integer solutions k to the equation p(k) = k^3?

 

Thank you so much!!!

 Jul 30, 2020
 #1
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The maximium number of distinct integer solutions is 5.

 Aug 3, 2020

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