General form of polynomials in two variables and matrix representation

[complexhuman]

how does one look like?I mean what's the general form? e.g. for a 1 var poly...general form = a0+a1x+a2^2+...+anx^n

and how could I represent that by a matrix?


Thanks

 

[Tide]

How about

$$a_0 x^n + a_1 x^{n-1} y + a_3 x^{n-2} y^2 + \cdot \cdot \cdot + a_n y^n + P(x) + Q(y)$$

where P and Q are polynomials in their respective arguments?

 

[complexhuman]

respective arguments?

 

[Tide]

Arguments - meaning P(x) is a polynomial in x and Q(y) is a polynomial in y.