In algebra, his work expanded our understanding of polynomial equations, opening new doors of exploration in complex numbers.

在代数方面，他的工作扩展了我们对多项式方程的理解，打开了探索复数的新大门。

Algebra In the field of algebra, Gauss proved the fundamental theorem of algebra, which states that every non-constant polynomial equation has at least one complex root.

代数 在代数领域，高斯证明了代数基本定理，即每个非常数多项式方程至少有一个复根。