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You can use the lift method. You can look at the following links for concrete examples:

• http://ask.sagemath.org/question/8346/find-polynomial-in-terms-of-ideal/
• http://ask.sagemath.org/question/7853/quotient-decomposition-by-groebner-basis/
• http://ask.sagemath.org/question/31946/polynomial-decomposition/