(C) The given polynomial is a constant polynomial $2$.Any non-zero constant polynomial can be expressed as $a x^{0}$,where $a$ is a non-zero constant.

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(C) The given polynomial is a constant polynomial $2$.Any non-zero constant polynomial can be expressed as $a x^{0}$,where $a$ is a non-zero constant.Thus,$2$ can be written as $2 x^{0}$.The exponent of the variable $x$ is $0$.Therefore,the degree of the constant polynomial $2$ is $0$.