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The factor form of that expression is: $(x-2)(x+3)$ but I could be more simpler.

Thanks for a while.

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    Yes, but I can not identify an xy-axis specific surface.2012-12-10

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HINT: From $r^2-5r+6-0$ you get $(r-2)(r-3)=0$, and therefore $r=2$ or $r=3$.

  • What are the equations in rectangular coordinates for $r=2$ and $r=3$? This is easy if you recognize what geometric shapes are involved.

  • Suppose that you get equations $f(x,y)=0$ and $g(x,y)=0$ for the rectangular equations representing $r=2$ and $r=3$. What does the equation $f(x,y)\cdot g(x,y)=0$ represent?

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    It is important to recognize that condition. I appreciate your courtesy.2012-12-10