how I solve this

hi if i have polynomial like

p1 = x^2+x*y+y^2-2
p2 = x+y+x*y

and set of points like S= {(1,0),(1,-1),(5,7),...,(-1,-8)} , how I solve these polynomial on this set and get complete answer in a easy way. i mean all these polynomial evaluated on each point of set.

Answer 1

[Walter Roberson]

S= {[1,0], [1,-1], [5,7], [-1,-8]};   %not the most natural of representations, but if it is what you have...

xy = cell2mat(S(:));
x = xy(:,1);
y = xy(:,2);

Now rewrite your multinomials to be vectorized:

p1 = x.^2 + x.*y + y.^2 - 2;
p2 = x + y + x.*y;

And you can then graph

pointsize = 20;
scatter3(x, y, p1, pointsize, 'r');
hold on
scatter3(x, y, p2, pointsize, 'b');
hold off