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**Amartyanil****Member**- From: Universe
- Registered: 2013-05-27
- Posts: 80

Hi;

See the following algebraic expression:

1/3(x + y + z)

It can be also written as: x/3 + y/3 + z/3

Or: (x + y + z)/3

Is this a monomial, binomial, trinomial or none of these?

*Last edited by Amartyanil (2016-02-27 16:53:13)*

"Every place is the center of the universe. And every moment is the most important moment. And everything is the meaning of life." ~ Dan Harmon

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Since it has 3 terms I would say trinomial.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**harpazo****Member**- Registered: 2016-03-08
- Posts: 2

If you distribute 1/3, the expression becomes x/3 + y/3 + z/3.

As you can see, three terms are formed.

This is a trinomial.

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**Amartyanil****Member**- From: Universe
- Registered: 2013-05-27
- Posts: 80

Hi;

See this algebraic expression:

4x +9x

It is a binomial.

When it is written 13x, it is a monomial.

Then what type of expression is this?

"Every place is the center of the universe. And every moment is the most important moment. And everything is the meaning of life." ~ Dan Harmon

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**thickhead****Member**- Registered: 2016-04-16
- Posts: 1,086

If there is a single variable the powers must be different.

*Last edited by thickhead (2016-05-01 04:46:16)*

**{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha{Gods rejoice at those places where ladies are respected.}**

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi Amartyanil;

Supposing I said it is x + 3x + 4x + 5x, does it now have 4 terms? You should simplify first to 13x, where it is obviously a monomial.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Amartyanil****Member**- From: Universe
- Registered: 2013-05-27
- Posts: 80

Hi;

Do we count only the unlike terms and state them only as terms?

"Every place is the center of the universe. And every moment is the most important moment. And everything is the meaning of life." ~ Dan Harmon

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Basically + and - make more terms:

is still a monomial.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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