A quadratic polynomial $f\left( x \right) ={ x }^{ 2 }+ax+b$ is formed with one of its zeros being $\frac { 4+3\sqrt { 3 } }{ 2+\sqrt { 3 } }$ where $a$ and $b$ are integers. Also $g\left( x \right) ={ x }^{ 4 }+{ 2x }^{ 3 }-{ 10x }^{ 2 }+4x-10$ is a biquadratic polynomial such that $g\left( \frac { 4+3\sqrt { 3 } }{ 2+\sqrt { 3 } } \right) =\quad c\sqrt { 3 } +d$ where $c$ and $d$ are integers. Find the value of $a+b+c+d$.