1. MeowLover17

x2y − 7xy + xyz + x

2. MeowLover17

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

3. anonymous

Is that X squared?

4. 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)

5. MeowLover17

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

6. mathmate

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

7. mathmate

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

8. MeowLover17

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

9. MeowLover17

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

10. 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?

11. MeowLover17

4

12. MeowLover17

So it would be a 3rd degree olynomial

13. 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"

14. MeowLover17

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

15. mathmate

ok

16. mathmate

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

17. 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

18. mathmate

Exactly! Perfect!

19. MeowLover17

thank youireally do appreciate your hel

20. MeowLover17

Help

21. anonymous

Yes that is right

22. mathmate

You're welcome!

23. MeowLover17

have a gra day all 😍

24. mathmate

You too! :)

25. MeowLover17

Great* sorry typping on an ipad sucks

26. mathmate

I know! :(