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How many cubic (i.e., third-degree) polynomials \(f(x)\) are there such that \(f(x)\) has nonnegative integer coefficients and \(f(1)=9\)?
 

Note that the question asks about nonnegative integers, not positive integers. This means that you can include 0.

 

Thanks in advance!

 Apr 25, 2021
 #1
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There are 225 possible polynomials.

 May 22, 2021

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