Let $\mathrm{A}=\left[\begin{array}{c}3{\mathrm{x}}^2\\ 1\\ 6\mathrm{x}\end{array}\right],\mathrm{B}=\left[\begin{array}{l}\mathrm{a}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\mathrm{b}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\mathrm{c}\end{array}\right]$, and $\mathrm{C}=\left[\begin{array}{ccc}(\mathrm{x}+2{)}^2& 5{\mathrm{x}}^2& 2\mathrm{x}\\ 5{\mathrm{x}}^2& 2\mathrm{x}& (\mathrm{x}+2{)}^2\\ 2\mathrm{x}& (\mathrm{x}+2{)}^2& 5{\mathrm{x}}^2\end{array}\right]$ be three given matrices, where a, b, c and $\mathrm{x}\in \mathrm{R}$. Given that $\mathrm{tr}\left(\mathrm{AB}\right)=\mathrm{tr}\left(\mathrm{C}\right)$, where tr(A) denotes trace of A. If $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{ax}}^2+\mathrm{bx}+\mathrm{c}$, then the value of f(1) is _________