A trinomial is a polynomial with three distinct terms. When discussing what comes after a trinomial in terms of polynomial degree, the next step is typically a polynomial with four terms, known as a quadnomial. However, in terms of degree, if we consider a trinomial of degree two, the next polynomial could be a polynomial of degree three, which is called a cubic polynomial.
In mathematics, the progression of polynomials usually follows a standard naming convention based on the number of terms or the degree. For example:
- Monomial – 1 term
- Binomial – 2 terms
- Trinomial – 3 terms
- Quadnomial – 4 terms
So, if you’re referring to the number of terms, then quadnomial is what comes after a trinomial. If you’re looking at polynomial degree, the next in line could be a cubic polynomial. Understanding these terms helps to clarify discussions related to polynomial functions and their properties.