# REAL Roots of a 2 variable Polynomial

I am looking to plot the real zeros of polynomials of two variables in Mathematica, but I have encountered an issue. To accomplish this task I have been using ContourPlot to plot the polynonial f(x,y)=0. For example see below:

Although I am getting the contour plot, there seems to be regions where the X and Y axis is "broken". I am considering polynomials which have form:`$\sum_{k=1}^3\sum_{l=1}^3 a_{k,l}x^ky^l$, thus the X and Y axis should always be real roots of the polynomial. Thus I think Mathematica is mixing up real and complex zeros possibly, and I was wondering if there is a way to remedy this issue as all I want are the real zero plots of these 2-variable polynomials.

• To facilitate people assisting you, post copiable code blocks, not images of code. – Bob Hanlon May 24 '16 at 1:14