I have a question that is as follows,
Use Rouches Theorem to show that if then there are two zeros of p(z) within the unit circle.
Now i chose and
and then evaluated these at z=1, as on the boundary of the circle to get,
i then said that by rouches theorem, (i.e p(z)) has the same number of zeros as g(z), i.e. 2, if
which leads to me concluding that this is when
Does anyone know what i am doing wrong?