Consider a negative unity feedback system with forward path transfer function

$G\left ( s \right )=\frac{K}{\left ( s+a \right )\left ( s-b \right )\left ( s+c \right )}$, where $\text{K, a, b, c}$ are positive real numbers. For a
Nyquist path enclosing the entire imaginary axis and right half of the $\text{s-plane}$ in

the clockwise direction, the Nyquist plot of $\left ( 1+G\left ( s \right ) \right )$, encircles the origin of

$\left ( 1+G\left ( s \right ) \right )$$\text{-plane}$ once in the clockwise direction and never passes through this
origin for a certain value of $\text{K}$. Then, the number of poles of $\frac{G\left ( s \right )}{1+G\left ( s \right )}$ lying in the

open right half of the $\text{s}$-plane is__________.
in new
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