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What are the meanings of "monomial," "binomial" and "trinomial"?

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Quick Answer

A monomial, where ���mono��� means ���one,��� is a one-term polynomial. A binomial, with ���bi��� meaning ���two,��� is a polynomial with two terms. A polynomial with three terms is called a trinomial, as ���tri��� means ���three.���

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Full Answer

A monomial is a number, a variable, a number multiplied by a variable or a product of variables, where all of the exponents are nonnegative integers. It is one term of a polynomial. A polynomial is therefore composed of monomials combined by addition, subtraction, multiplication and division. Variables of a monomial can only have whole number exponents; thus, an expression with a variable in the denominator or a variable with a negative exponent is not a monomial. Some examples of monomials are 2, y, 3z, xy and 2mn.

Two monomials combined by addition or subtraction are called a binomial. Each binomial consists of two unlike terms, which means the two terms cannot be combined to be simplified. Examples of binomial are ���2x + y��� and ���x2 + x.���

A three-term polynomial, called a trinomial consists of three monomials separated by a plus or a minus sign. It consists of three unlike terms such as ���x + y + z��� and ���x3 ��� x2 + x.���

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