A question about whether a term exists indicating inner product of unknown coefficient vector and known function vector

Question

Let us consider an undetermined polynomial function $f(x)=c_0+c_1x+c_2x^2$. In the function $c_0, c_1$ and $c_2$ are unknown coefficients. So one can express undetermined function as $f(C)=\operatorname{dot}(C,X)$ where $C=\begin{pmatrix}{c_0\\c_1\\c_2}\end{pmatrix}$ is an unknown coefficient vector and $X=\begin{pmatrix}{1\\x\\x^2}\end{pmatrix}$ is a known function vector. In this case, how can I call this format of the function $f(x)$? Is there a term for this format?