Question 1132207
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    p(x) = {{{(x-5)^2*x^2*(x-(-1))}}}, 


or, which is the same,


    p(x) = {{{x^2*(x-5)^2*(x+1)}}}.


Each root  {{{alpha}}}  generates, creates and produces the factor {{{(x-alpha)}}}  of the polynomial.


Under the given condition, such a polynomial is unique: there is no other with the given properties.
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