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

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

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

xy + x + y

So, why do we say, polynomial of level 2 is a quadratic function? We speak it because of conventions. It makes sense.

I think the greatest reason why is that whether a role on the airplane is quadratic shouldn"t rely on precisely which name: coordinates axes we impose ~ above the plane. Because that instance, if i didn"t like your \$xy\$-axes, and instead want \$uv\$-axes \$45^circ\$ to yours (say my allude \$(1,0)\$ is at your \$(1,1)\$ and my suggest \$(0,1)\$ is at her \$(-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 included the = 0 to do your question complete) is not of level two because that x.

Rearranging: \$y=frac-xx+1\$ Thanks for contributing solution to sdrta.net Stack Exchange!

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