Explain the difference between a monomial, a binomial, and a trinomial.

Polynomials are described as algebraic expressions consisting of coefficients and indeterminate or variables combined by mathematical operations, which include multiplication, subtraction, addition, and division but not by a variable. The word polynomial consists of two Greek words: ‘poly,’ which means ‘many,’ and ‘nominal,’ which means ‘expressions or terms,’ and when the two words are combined, they become many terms. There are three kinds of polynomials, namely, monomial, binomial, and trinomial.

A monomial is an expression consisting of one term only, and the term must be non-zero; for example, 5s3, q, 6a, 9, among others. A binomial is a polynomial expression that has just two terms only and can be considered as a difference or sum of two or more monomials and trinomial, which are categorized depending on the number of terms they contain. An example of a binomial is 5s3 + 3b, b2 + 8b, 7c + 6 among others. A trinomial is an expression consisting of just three terms only, for instance, 5s3 + 3b + q.

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Academic.Tips. 2022. "Explain the difference between a monomial, a binomial, and a trinomial." November 25, 2022. https://academic.tips/question/explain-the-difference-between-a-monomial-a-binomial-and-a-trinomial/.

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Academic.Tips. "Explain the difference between a monomial, a binomial, and a trinomial." November 25, 2022. https://academic.tips/question/explain-the-difference-between-a-monomial-a-binomial-and-a-trinomial/.

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