through wikipedia:In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or merely a quadratic, is a polynomial function in one or much more variables in i beg your pardon the highest-degree term is that the second degree.

You are watching: A quadratic polynomial has a degree of 2

But the listed below polynomial is also of degree 2 and also non quadratic:

xy + x + y

So, why perform we say, polynomial of level 2 is a quadratic function?


We say it since of conventions. It makes sense.

I think the best reason why is that whether a duty on the airplane is quadratic shouldn"t count on exactly which coordinate axes we impose ~ above the plane. Because that instance, if ns didn"t choose your $xy$-axes, and instead wanted $uv$-axes $45^circ$ to yours (say my allude $(1,0)$ is at your $(1,1)$ and also my allude $(0,1)$ is at your $(-1,1)$), climate my expression for the same function would be$$frac14u^2-frac14v^2 + u$$which clearly has quadratic terms.


$xy+x+y =0$ (I added the = 0 to do your question complete) is no of degree two for x.

Rearranging: $y=frac-xx+1$

Thus that is not quadratic.


Thanks because that contributing solution to thedesigningfairy.comematics Stack Exchange!

Please be sure to answer the question. Carry out details and share her research!

But avoid

Asking for help, clarification, or responding to various other answers.Making statements based on opinion; ago them increase with referrals or personal experience.

Use thedesigningfairy.comJax to style equations. thedesigningfairy.comJax reference.

See more: The Real Housewives Of Atlanta Season 10 Episode 6, The Real Housewives Of Atlanta: Season 10

To learn more, check out our advice on writing good answers.

short article Your price Discard

By click “Post her Answer”, you agree come our regards to service, privacy policy and also cookie plan

Not the answer you're feather for? Browse other questions tagged polynomials quadratics or ask your own question.

Every non-negative multivariate polynomial has even degree and also the highest degree term has positive coefficient?

site style / logo © 2021 ridge Exchange Inc; user contributions licensed under cc by-sa. Rev2021.10.27.40585

thedesigningfairy.comematics ridge Exchange works finest with JavaScript allowed

her privacy

By clicking “Accept every cookies”, girlfriend agree ridge Exchange have the right to store cookie on your device and disclose info in accordance v our Cookie Policy.