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What is the definition of monomials?

Updated: 4/28/2022
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14y ago

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A product of variables and numbers. Ex:) 5x

It can only be a product (multiplication). If you have 5 + x, then that would be a binomial because it has two monomials: 5 and x.

A monomial is very similar to a term!

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Q: What is the definition of monomials?
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Is 4x plus 3y-2z a polynomial?

See definition of polynomial and monomials. You will see.


What is the relationship between monomials binomials and trinomials?

A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.


What does binomial mean?

In algebra, an expression consisting of the sum or difference of two monomials (see the definition of monomial), such as 4a-8b.


What is the definition of binomial?

It means that something has two parts.Specifically in algebra, a binomial is the sum of two monomials.


What are examples of monomials?

A monomial is any mathematical term that can be simplified down to one term. The term MONO means one and that is where the definition comes from.Examples:8xx58x9There are millions of monomials that come in endless variety. More complex but not too complex monomials are:8+38+3 is a monomial because it can be simplified to 11. You have been learning monomials since Kindergarten, the only difference is that now there is a fancy word for those simple mental math problems.


What are two monomials together?

Two monomials would be a Binomial or Polynomial.


How many terms are in the product of monomials?

The product of monomials is a single term.


Is M a monomial?

Yes. "Monomial" has two definitions: 1. Any number like 1, x, xn, xyz, or xaybzc (with n, a, b, and c positive integers). 2. Anything under definition 1, but including monomials multiplied by a constant, like -5x and (1+2i)xy. Assuming "M" is a variable, "M" is a monomial by either definition. Basically, (by the second definition) a monomial is something that's one of the terms of a polynomial. e.g. in x2 + 5x - 3, x2, 5x, and -3 are monomials, and in x2 + xy + y2, x2, xy, and y2 are monomials.


Give the GCF of each pair of monomials?

Sure, just tell us what the monomials are.


Can monomials have negative exponents?

Monomials can have negative exponents, if the term for the exponent is not a variable, but if it is a variable with a negative exponent, the whole expression will not be classified. This is so because the definition of a monomial states that, a monomial can be a product of a number and one or more variables with positive integer exponents. I hope that answered your question!


What is the sum of 3 monomials?

A trinomial is the sum of three monomials, any more than that does not have a special name


Are monomials polynomails?

Yes.