105- What is the value of $\dfrac{t^{11}+t^{10}+t^9+\cdots+t+1}{t^4+t^2+t^2+1}$, for $t=\dfrac{-1+\sqrt{5}}{2}$? (1) $2$ (2) $3$ (3) $4$ (4) $5$
\textbf{105-} What is the value of $\dfrac{t^{11}+t^{10}+t^9+\cdots+t+1}{t^4+t^2+t^2+1}$, for $t=\dfrac{-1+\sqrt{5}}{2}$?
\medskip
(1) $2$ \hfill (2) $3$ \hfill (3) $4$ \hfill (4) $5$
\medskip