expressionsexplain "monomial expression", "binomial expression","trinomial expression", "polynomial expression"

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

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A monomial expression is one that has only one term.  It can be something like 10x or 8.  It is not added to anything or multiplied by anything -- nothing else is done to it.

A polynomial expression is one that has more than one term (so of course binomial epxressions have 2 terms and trinomials have 3).  It can be something like

a^2 + b^2

Because there you have multiple monomials being added to make a polynomial.

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

The number of terms of an expression gives the name of the expression.

The expression that has a single terms is called monomial expression.

For instance, y is an expression. Also 6z is an expression, too.

A binomial expression has 2 unlike terms, added or subtracted:

7y + 8z

A trinomial expression has 3 unlike terms, added or subtracted:

15xz + 17 - 9t

A polynomial expression has more unlike terms, added or subtracted:

x^3 + 4yz - 15u + 18w - 21

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