Check my answer Please (Algebra 1)

- MeowLover17

Check my answer Please (Algebra 1)

- schrodinger

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- MeowLover17

x2y − 7xy + xyz + x

- MeowLover17

That above is a 2nd degree polynomial am I correct???

- anonymous

Is that X squared?

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## More answers

- mathmate

"The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the \(sum\) of the exponents of the variables that appear in it"
(wiki)

- MeowLover17

So it is a 2nd degree polynomial being 2 and yes its x^2

- mathmate

It's not.
Please read the definition of the degree of a polynomial, \(and\) the degree of a \(term\).

- mathmate

It's not because if you look only at the degree of y, then the degree would be 1.

- MeowLover17

@mathmate so do i add all of the exponents together making it a 7th dgree polynomial?

- MeowLover17

I submittedt and got it wrongplease tell me what it is so i can better understand

- mathmate

"The degree of a polynomial is the highest degree of its \(terms\), ..."
Can you tell me how many terms there are in the given expression?

- MeowLover17

4

- MeowLover17

So it would be a 3rd degree olynomial

- mathmate

Good. Can you tell me the degree of each term?
Recall "...The degree of a \(term\) is the sum of the exponents of the variables that appear in it"

- MeowLover17

Let me show you this one and ill tell you tedegrees of terms let me know f im right please

- mathmate

ok

- mathmate

Also remember \(xyz\equiv x^1y^1z^1\) to help you add up the exponents.

- MeowLover17

4x^2+3xy+12yz 1st term goes to the 2nd degree 2nd term goes to the 2nd degree and 3rd term goes to the second degree so that is a 2nd degree trinomial

- mathmate

Exactly! Perfect!

- MeowLover17

thank youireally do appreciate your hel

- MeowLover17

Help

- anonymous

Yes that is right

- mathmate

You're welcome!

- MeowLover17

have a gra day all 😍

- mathmate

You too! :)

- MeowLover17

Great* sorry typping on an ipad sucks

- mathmate

I know! :(

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