#15188: quo_rem incorret for p-adic polynomials
-----------------------+--------------------------
  Reporter:  saraedum  |             Type:  defect
    Status:  new       |         Priority:  major
 Milestone:  sage-6.0  |        Component:  padics
Resolution:            |  Report Upstream:  N/A
-----------------------+--------------------------
 The current implementation of `quo_rem` for p-adic polynomials does not
 guarantee a remainder with degree less than that of the divisor:
 {{{
 sage: R.<x> = Qp(3)[]
 sage: x.quo_rem(x)
 ((1 + O(3^20)), (O(3^20))*x)
 }}}
 These leading zero coefficients cause problems, e.g., in #13662.

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Ticket URL: <http://trac.sagemath.org/ticket/15188>
Sage <http://www.sagemath.org>
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