A polynomial ring is a mathematical structure formed from polynomials, which are expressions consisting of variables and coefficients combined using addition, subtraction, and multiplication. In polynomial rings, the coefficients belong to a certain ring, and the variables can take on values from that ring. This structure allows for operations on polynomials similar to those in standard algebra, extending the concept of arithmetic to more complex expressions.
congrats on reading the definition of polynomial rings. now let's actually learn it.