Question

Polynomial clarification!
3x^3y/4z^12
5xy^5-6z^4
3x^2+13x+15
2a^2b-5ab^2+7
Are these polynomial, binomial, or trinomial?
MEDAL REWARDED AND FAN!!

Answer 1

@jim_thompson5910
@Mertsj
@poopsiedoodle

Answer 2

Please help ASAP.

Answer 3

An expression that can have constants, variables and exponents, but:

* no division by a variable.
* a variable's exponents can only be 0,1,2,3,... etc.
* it can't have an infinite number of terms.

Answer 4

Ok

Answer 5

How can you tell if it's polynomial, binomial, or trinomial?

Answer 6

Is there a difference?

Answer 7

If it has 2 terms it is a binomial.

Answer 8

Ok

Answer 9

If it has 3 terms it is a trinomial
It it has 1 term it is a monomial

Answer 10

Okay.

Answer 11

Can you please help me with the first one, just for an example, please?

Answer 12

@Mertsj ?

Answer 13

Does it have division by a variable?

Answer 14

Yes the equation is divided

Answer 15

An expression that can have constants, variables and exponents, but: * no division by a variable.

Answer 16

So since it has division by a variable, can it be a polynomial?

Answer 17

I guess so

Answer 18

Thanks!

Answer 19

What do you think it means when it says "no division by a variable"?

Answer 20

It probably means that in order for it to be considered a polynomial it has to follow one of the rules, and that was one of the rules described right, I am assuming?

Answer 21

If it has division by a variable it is not a polynomial.

Answer 22

So it is non-polynomial?

Answer 23

From my understanding?

Answer 24

yes. it is not a polynomial

Answer 25

On my HW it says terms so since it is a non-polynomial it has 0 terms, I think?

Answer 26

It is a one term expression that is not a polynomial

Answer 27

Ok, thanks.

Answer 28

yw

Answer 29

What about the second one?- just for another reference, if you don't mind?

Answer 30

Does it violate any of these rules:
* no division by a variable.
* a variable's exponents can only be 0,1,2,3,... etc.
* it can't have an infinite number of terms.

Answer 31

What does it mean it can't have an infinite number of terms?

Answer 32

Do you know what infinite means?

Answer 33

A lot or numerous

Answer 34

It means without end

Answer 35

Oh well, I think I might forgot. LOL

Answer 36

On this rule: a variable's exponents can only be 0,1,2,3,... etc.
Does the variable's exponents has an end number like 10 or any number can be possible?

Answer 37

Any integer greater than or equal to 0

Answer 38

Okay

Answer 39

Thanks for the help!

Answer 40

Especially Mertsj! :)

Answer 41

yw