splitting field of a polynomial in an indeterminate

例句：

1. 1.The researcher found that the splittingfield of a polynomial in an indeterminate is crucial for solving complex equations.
   研究人员发现，在不确定情况下，多项式的分裂场对于解决复杂方程至关重要。
2. 2. In thisstudy, we focused on the splitting field of the quadratic equationto understand its behavior under different conditions.
   在本研究中，我们专注于二次方程的分裂场，以了解在不同条件下其行为。
3. 3.The splitting field method has been widelyused in engineering and science to analyze thestability of systems.
   分裂场方法在工程和科学中被广泛使用，用于分析系统的稳定。