Is the polynomial $2 x^{2} + 3 x y + 5 y^{2}$ in one variable?

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Solution

We know that polynomials consisting of constants and/or variables combined by addition or subtraction. The variables may include exponent.
So in polynomial $2 x^{2} + 2 x y^{2} + 7 x y$ have two variable $x$ and $y$ .
Thus $2 x^{2} + 2 x y^{2} + 7 x y$ is not a polynomial in one variable.

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